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516253304 = 237374159103
BaseRepresentation
bin11110110001010…
…110011001111000
31022222102101101202
4132301112121320
52024130101204
6123121033332
715536036450
oct3661263170
91288371352
10516253304
11245458826
12124a85848
1382c56038
144c7c6d60
15304c8e1e
hex1ec56678

516253304 has 128 divisors (see below), whose sum is σ = 1195084800. Its totient is φ = 204456960.

The previous prime is 516253289. The next prime is 516253307. The reversal of 516253304 is 403352615.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (516253307) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5012117 + ... + 5012219.

It is an arithmetic number, because the mean of its divisors is an integer number (9336600).

Almost surely, 2516253304 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 516253304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (597542400).

516253304 is an abundant number, since it is smaller than the sum of its proper divisors (678831496).

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

516253304 is a wasteful number, since it uses less digits than its factorization.

516253304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 29.

The square root of 516253304 is about 22721.2082425209. The cubic root of 516253304 is about 802.2091564195.

The spelling of 516253304 in words is "five hundred sixteen million, two hundred fifty-three thousand, three hundred four".

Divisors: 1 2 4 7 8 14 28 37 41 56 59 74 82 103 118 148 164 206 236 259 287 296 328 412 413 472 518 574 721 824 826 1036 1148 1442 1517 1652 2072 2183 2296 2419 2884 3034 3304 3811 4223 4366 4838 5768 6068 6077 7622 8446 8732 9676 10619 12136 12154 15244 15281 16892 16933 17464 19352 21238 24308 26677 29561 30488 30562 33784 33866 42476 42539 48616 53354 59122 61124 67732 84952 85078 89503 106708 118244 122248 135464 156251 170156 179006 213416 224849 236488 249157 312502 340312 358012 449698 498314 625004 626521 716024 899396 996628 1093757 1250008 1253042 1573943 1744099 1798792 1993256 2187514 2506084 3147886 3488198 4375028 5012168 6295772 6976396 8750056 9218809 12591544 13952792 18437618 36875236 64531663 73750472 129063326 258126652 516253304