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516925696 = 2874292
BaseRepresentation
bin11110110011111…
…010100100000000
31100000200112202011
4132303322210000
52024313110241
6123143302304
715544540000
oct3663724400
91300615664
10516925696
11245877a21
1212514a994
13831300c1
144c920000
15305ad281
hex1ecfa900

516925696 has 135 divisors (see below), whose sum is σ = 1246671881. Its totient is φ = 213900288.

The previous prime is 516925657. The next prime is 516925741. The reversal of 516925696 is 696529615.

The square root of 516925696 is 22736.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 271063296 + 245862400 = 16464^2 + 15680^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 17825010 + ... + 17825038.

Almost surely, 2516925696 is an apocalyptic number.

516925696 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

516925696 is the 22736-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 516925696

516925696 is an abundant number, since it is smaller than the sum of its proper divisors (729746185).

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

516925696 is an frugal number, since it uses more digits than its factorization.

516925696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 38 counting only the distinct ones).

The product of its digits is 874800, while the sum is 49.

The cubic root of 516925696 is about 802.5572833338.

Multiplying 516925696 by its sum of digits (49), we get a square (25329359104 = 1591522).

516925696 divided by its sum of digits (49) gives a square (10549504 = 32482).

The spelling of 516925696 in words is "five hundred sixteen million, nine hundred twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 49 56 58 64 98 112 116 128 196 203 224 232 256 343 392 406 448 464 686 784 812 841 896 928 1372 1421 1568 1624 1682 1792 1856 2401 2744 2842 3136 3248 3364 3712 4802 5488 5684 5887 6272 6496 6728 7424 9604 9947 10976 11368 11774 12544 12992 13456 19208 19894 21952 22736 23548 25984 26912 38416 39788 41209 43904 45472 47096 51968 53824 69629 76832 79576 82418 87808 90944 94192 107648 139258 153664 159152 164836 181888 188384 215296 278516 288463 307328 318304 329672 363776 376768 557032 576926 614656 636608 659344 753536 1114064 1153852 1273216 1318688 1507072 2019241 2228128 2307704 2546432 2637376 4038482 4456256 4615408 5274752 8076964 8912512 9230816 10549504 16153928 17825024 18461632 32307856 36923264 64615712 73846528 129231424 258462848 516925696