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5076794592 = 2532172933539
BaseRepresentation
bin1001011101001100…
…11011110011100000
3111002210212212221100
410232212123303200
540344124411332
62155433154400
7236544020262
oct45646336340
914083785840
105076794592
112175799a11
12b9825ba00
1362ba38c8c
14362371b32
151eaa7567c
hex12e99bce0

5076794592 has 144 divisors (see below), whose sum is σ = 15342883920. Its totient is φ = 1586835456.

The previous prime is 5076794561. The next prime is 5076794621. The reversal of 5076794592 is 2954976705.

5076794592 is a `hidden beast` number, since 50 + 76 + 79 + 459 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1432759 + ... + 1436297.

It is an arithmetic number, because the mean of its divisors is an integer number (106547805).

Almost surely, 25076794592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5076794592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7671441960).

5076794592 is an abundant number, since it is smaller than the sum of its proper divisors (10266089328).

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

5076794592 is a wasteful number, since it uses less digits than its factorization.

5076794592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3865 (or 3854 counting only the distinct ones).

The product of its (nonzero) digits is 4762800, while the sum is 54.

The square root of 5076794592 is about 71251.6286971744. The cubic root of 5076794592 is about 1718.6859659017.

The spelling of 5076794592 in words is "five billion, seventy-six million, seven hundred ninety-four thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 293 306 408 544 586 612 816 879 1172 1224 1632 1758 2344 2448 2637 3516 3539 4688 4896 4981 5274 7032 7078 9376 9962 10548 10617 14064 14156 14943 19924 21096 21234 28128 28312 29886 31851 39848 42192 42468 44829 56624 59772 60163 63702 79696 84384 84936 89658 113248 119544 120326 127404 159392 169872 179316 180489 239088 240652 254808 339744 358632 360978 478176 481304 509616 541467 717264 721956 962608 1019232 1036927 1082934 1434528 1443912 1925216 2073854 2165868 2887824 3110781 4147708 4331736 5775648 6221562 8295416 8663472 9332343 12443124 16590832 17326944 17627759 18664686 24886248 33181664 35255518 37329372 49772496 52883277 70511036 74658744 99544992 105766554 141022072 149317488 158649831 211533108 282044144 298634976 317299662 423066216 564088288 634599324 846132432 1269198648 1692264864 2538397296 5076794592