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96212256 = 2537294937
BaseRepresentation
bin1011011110000…
…01010100100000
320201001002101220
411233001110200
5144112243011
613314055040
72245535130
oct557012440
9221032356
1096212256
114a344768
122827a480
1316c1873a
14cac6ac0
1586a7506
hex5bc1520

96212256 has 96 divisors (see below), whose sum is σ = 298650240. Its totient is φ = 26535936.

The previous prime is 96212213. The next prime is 96212309. The reversal of 96212256 is 65221269.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17020 + ... + 21956.

It is an arithmetic number, because the mean of its divisors is an integer number (3110940).

Almost surely, 296212256 is an apocalyptic number.

96212256 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96212256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149325120).

96212256 is an abundant number, since it is smaller than the sum of its proper divisors (202437984).

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

96212256 is a wasteful number, since it uses less digits than its factorization.

96212256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4986 (or 4978 counting only the distinct ones).

The product of its digits is 12960, while the sum is 33.

The square root of 96212256 is about 9808.7846341940. The cubic root of 96212256 is about 458.2229103758. Note that the first 3 decimals are identical.

The spelling of 96212256 in words is "ninety-six million, two hundred twelve thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 3248 4872 4937 6496 9744 9874 14811 19488 19748 29622 34559 39496 59244 69118 78992 103677 118488 138236 143173 157984 207354 236976 276472 286346 414708 429519 473952 552944 572692 829416 859038 1002211 1105888 1145384 1658832 1718076 2004422 2290768 3006633 3317664 3436152 4008844 4581536 6013266 6872304 8017688 12026532 13744608 16035376 24053064 32070752 48106128 96212256