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4000048080 = 243577930139
BaseRepresentation
bin1110111001101011…
…1110001111010000
3101022202210111101220
43232122332033100
531143003014310
61500530525040
7201060563520
oct35632761720
911282714356
104000048080
111772a17366
12937736780
134b993a572
1429d367680
15186284670
hexee6be3d0

4000048080 has 160 divisors (see below), whose sum is σ = 14351462400. Its totient is φ = 902693376.

The previous prime is 4000048069. The next prime is 4000048127. The reversal of 4000048080 is 808400004.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4000048080.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 117651 + ... + 147789.

It is an arithmetic number, because the mean of its divisors is an integer number (89696640).

Almost surely, 24000048080 is an apocalyptic number.

4000048080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4000048080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7175731200).

4000048080 is an abundant number, since it is smaller than the sum of its proper divisors (10351414320).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4000048080 is a wasteful number, since it uses less digits than its factorization.

4000048080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30241 (or 30235 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 4000048080 is about 63245.9333080001. The cubic root of 4000048080 is about 1587.4074121296.

Adding to 4000048080 its reverse (808400004), we get a palindrome (4808448084).

The spelling of 4000048080 in words is "four billion, forty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 79 80 84 105 112 120 140 158 168 210 237 240 280 316 336 395 420 474 553 560 632 790 840 948 1106 1185 1264 1580 1659 1680 1896 2212 2370 2765 3160 3318 3792 4424 4740 5530 6320 6636 8295 8848 9480 11060 13272 16590 18960 22120 26544 30139 33180 44240 60278 66360 90417 120556 132720 150695 180834 210973 241112 301390 361668 421946 452085 482224 602780 632919 723336 843892 904170 1054865 1205560 1265838 1446672 1687784 1808340 2109730 2380981 2411120 2531676 3164595 3375568 3616680 4219460 4761962 5063352 6329190 7142943 7233360 8438920 9523924 10126704 11904905 12658380 14285886 16666867 16877840 19047848 23809810 25316760 28571772 33333734 35714715 38095696 47619620 50000601 50633520 57143544 66667468 71429430 83334335 95239240 100001202 114287088 133334936 142858860 166668670 190478480 200002404 250003005 266669872 285717720 333337340 400004808 500006010 571435440 666674680 800009616 1000012020 1333349360 2000024040 4000048080