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4048714080 = 253253190697
BaseRepresentation
bin1111000101010010…
…0111100101100000
3101110011100222121100
43301110213211200
531242432322310
61505425554400
7202221334065
oct36124474540
911404328540
104048714080
1117984368a4
1294baa5a00
134c6a49708
142a59d4c6c
1518a698ec0
hexf1527960

4048714080 has 144 divisors (see below), whose sum is σ = 14262079104. Its totient is φ = 1044817920.

The previous prime is 4048714069. The next prime is 4048714093. The reversal of 4048714080 is 804178404.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 709 + ... + 89988.

It is an arithmetic number, because the mean of its divisors is an integer number (99042216).

Almost surely, 24048714080 is an apocalyptic number.

4048714080 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 4048714080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7131039552).

4048714080 is an abundant number, since it is smaller than the sum of its proper divisors (10213365024).

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

4048714080 is a wasteful number, since it uses less digits than its factorization.

4048714080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90749 (or 90738 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 4048714080 is about 63629.5063630074. The cubic root of 4048714080 is about 1593.8191329642.

The spelling of 4048714080 in words is "four billion, forty-eight million, seven hundred fourteen thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 31 32 36 40 45 48 60 62 72 80 90 93 96 120 124 144 155 160 180 186 240 248 279 288 310 360 372 465 480 496 558 620 720 744 930 992 1116 1240 1395 1440 1488 1860 2232 2480 2790 2976 3720 4464 4960 5580 7440 8928 11160 14880 22320 44640 90697 181394 272091 362788 453485 544182 725576 816273 906970 1088364 1360455 1451152 1632546 1813940 2176728 2720910 2811607 2902304 3265092 3627880 4081365 4353456 5441820 5623214 6530184 7255760 8162730 8434821 8706912 10883640 11246428 13060368 14058035 14511520 16325460 16869642 21767280 22492856 25304463 26120736 28116070 32650920 33739284 42174105 43534560 44985712 50608926 56232140 65301840 67478568 84348210 89971424 101217852 112464280 126522315 130603680 134957136 168696420 202435704 224928560 253044630 269914272 337392840 404871408 449857120 506089260 674785680 809742816 1012178520 1349571360 2024357040 4048714080