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96862272 = 26313151257
BaseRepresentation
bin1011100011000…
…00000001000000
320202021010001120
411301200001000
5144244043042
613340032240
72254213203
oct561400100
9222233046
1096862272
114a749071
1228532680
13170b5570
14cc1593a
158784dec
hex5c60040

96862272 has 112 divisors (see below), whose sum is σ = 278904192. Its totient is φ = 29491200.

The previous prime is 96862267. The next prime is 96862301. The reversal of 96862272 is 27226869.

It is a super-3 number, since 3×968622723 (a number of 25 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 376768 + ... + 377024.

It is an arithmetic number, because the mean of its divisors is an integer number (2490216).

Almost surely, 296862272 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 96862272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139452096).

96862272 is an abundant number, since it is smaller than the sum of its proper divisors (182041920).

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

96862272 is a wasteful number, since it uses less digits than its factorization.

96862272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 426 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 96862272 is about 9841.8632382288. The cubic root of 96862272 is about 459.2525226540.

The spelling of 96862272 in words is "ninety-six million, eight hundred sixty-two thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 151 156 192 208 257 302 312 416 453 514 604 624 771 832 906 1028 1208 1248 1542 1812 1963 2056 2416 2496 3084 3341 3624 3926 4112 4832 5889 6168 6682 7248 7852 8224 9664 10023 11778 12336 13364 14496 15704 16448 20046 23556 24672 26728 28992 31408 38807 40092 47112 49344 53456 62816 77614 80184 94224 106912 116421 125632 155228 160368 188448 213824 232842 310456 320736 376896 465684 504491 620912 641472 931368 1008982 1241824 1513473 1862736 2017964 2483648 3026946 3725472 4035928 6053892 7450944 8071856 12107784 16143712 24215568 32287424 48431136 96862272