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4869447840 = 25355125243
BaseRepresentation
bin1001000100011110…
…11110000010100000
3110120100201120200000
410202033132002200
534433034312330
62123105100000
7231445423635
oct44217360240
913510646600
104869447840
112079749264
12b3a927600
135c7aab9aa
143429da18c
151d7769560
hex1223de0a0

4869447840 has 144 divisors (see below), whose sum is σ = 17232572448. Its totient is φ = 1298509056.

The previous prime is 4869447811. The next prime is 4869447841. The reversal of 4869447840 is 487449684.

4869447840 is a `hidden beast` number, since 4 + 86 + 94 + 478 + 4 + 0 = 666.

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 (54).

It is not an unprimeable number, because it can be changed into a prime (4869447841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23742 + ... + 101501.

It is an arithmetic number, because the mean of its divisors is an integer number (119670642).

Almost surely, 24869447840 is an apocalyptic number.

4869447840 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 4869447840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8616286224).

4869447840 is an abundant number, since it is smaller than the sum of its proper divisors (12363124608).

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

4869447840 is a wasteful number, since it uses less digits than its factorization.

4869447840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125273 (or 125253 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The square root of 4869447840 is about 69781.4290481357. The cubic root of 4869447840 is about 1694.9617659165.

The spelling of 4869447840 in words is "four billion, eight hundred sixty-nine million, four hundred forty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1440 1620 1944 2160 2430 2592 3240 3888 4320 4860 6480 7776 9720 12960 19440 38880 125243 250486 375729 500972 626215 751458 1001944 1127187 1252430 1502916 1878645 2003888 2254374 2504860 3005832 3381561 3757290 4007776 4508748 5009720 5635935 6011664 6763122 7514580 9017496 10019440 10144683 11271870 12023328 13526244 15029160 16907805 18034992 20038880 20289366 22543740 27052488 30058320 30434049 33815610 36069984 40578732 45087480 50723415 54104976 60116640 60868098 67631220 81157464 90174960 101446830 108209952 121736196 135262440 152170245 162314928 180349920 202893660 243472392 270524880 304340490 324629856 405787320 486944784 541049760 608680980 811574640 973889568 1217361960 1623149280 2434723920 4869447840