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5074286208 = 273174318077
BaseRepresentation
bin1001011100111001…
…10111011010000000
3111002122011110002020
410232130313122000
540343004124313
62155303321440
7236513502225
oct45634673200
914078143066
105074286208
112174336372
12b97450280
1362b36b324
14361cbb94c
151ea72c323
hex12e737680

5074286208 has 128 divisors (see below), whose sum is σ = 14604131520. Its totient is φ = 1554825216.

The previous prime is 5074286207. The next prime is 5074286221. The reversal of 5074286208 is 8026824705.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 5074286208.

It is not an unprimeable number, because it can be changed into a prime (5074286207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 271666 + ... + 289742.

Almost surely, 25074286208 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 5074286208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7302065760).

5074286208 is an abundant number, since it is smaller than the sum of its proper divisors (9529845312).

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

5074286208 is a wasteful number, since it uses less digits than its factorization.

5074286208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18154 (or 18142 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 5074286208 is about 71234.0242299984. The cubic root of 5074286208 is about 1718.4028584856.

The spelling of 5074286208 in words is "five billion, seventy-four million, two hundred eighty-six thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 43 48 51 64 68 86 96 102 128 129 136 172 192 204 258 272 344 384 408 516 544 688 731 816 1032 1088 1376 1462 1632 2064 2176 2193 2752 2924 3264 4128 4386 5504 5848 6528 8256 8772 11696 16512 17544 18077 23392 35088 36154 46784 54231 70176 72308 93568 108462 140352 144616 216924 280704 289232 307309 433848 578464 614618 777311 867696 921927 1156928 1229236 1554622 1735392 1843854 2313856 2331933 2458472 3109244 3470784 3687708 4663866 4916944 6218488 6941568 7375416 9327732 9833888 12436976 13214287 14750832 18655464 19667776 24873952 26428574 29501664 37310928 39335552 39642861 49747904 52857148 59003328 74621856 79285722 99495808 105714296 118006656 149243712 158571444 211428592 298487424 317142888 422857184 634285776 845714368 1268571552 1691428736 2537143104 5074286208