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96212928 = 2637174211
BaseRepresentation
bin1011011110000…
…01011111000000
320201001010022210
411233001133000
5144112303203
613314102120
72245540110
oct557013700
9221033283
1096212928
114a345219
122827a940
1316c18b36
14cac7040
1586a7803
hex5bc17c0

96212928 has 112 divisors (see below), whose sum is σ = 308116224. Its totient is φ = 25866240.

The previous prime is 96212899. The next prime is 96212953. The reversal of 96212928 is 82921269.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20743 + ... + 24953.

Almost surely, 296212928 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 96212928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154058112).

96212928 is an abundant number, since it is smaller than the sum of its proper divisors (211903296).

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

96212928 is a wasteful number, since it uses less digits than its factorization.

96212928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4250 (or 4240 counting only the distinct ones).

The product of its digits is 31104, while the sum is 39.

The square root of 96212928 is about 9808.8188891426. The cubic root of 96212928 is about 458.2239772013.

The spelling of 96212928 in words is "ninety-six million, two hundred twelve thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 32 34 42 48 51 56 64 68 84 96 102 112 119 136 168 192 204 224 238 272 336 357 408 448 476 544 672 714 816 952 1088 1344 1428 1632 1904 2856 3264 3808 4211 5712 7616 8422 11424 12633 16844 22848 25266 29477 33688 50532 58954 67376 71587 88431 101064 117908 134752 143174 176862 202128 214761 235816 269504 286348 353724 404256 429522 471632 501109 572696 707448 808512 859044 943264 1002218 1145392 1414896 1503327 1718088 1886528 2004436 2290784 2829792 3006654 3436176 4008872 4581568 5659584 6013308 6872352 8017744 12026616 13744704 16035488 24053232 32070976 48106464 96212928