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88214496 = 25317191283
BaseRepresentation
bin1010100001000…
…00101111100000
320010222202112120
411100200233200
5140040330441
612430424240
72120545056
oct520405740
9203882476
1088214496
1145881947
1225662080
1315378336
14ba041d6
157b27966
hex5420be0

88214496 has 96 divisors (see below), whose sum is σ = 247339008. Its totient is φ = 27432960.

The previous prime is 88214471. The next prime is 88214519. The reversal of 88214496 is 69441288.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311571 + ... + 311853.

It is an arithmetic number, because the mean of its divisors is an integer number (2576448).

Almost surely, 288214496 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 88214496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123669504).

88214496 is an abundant number, since it is smaller than the sum of its proper divisors (159124512).

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

88214496 is a wasteful number, since it uses less digits than its factorization.

88214496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 504 (or 496 counting only the distinct ones).

The product of its digits is 110592, while the sum is 42.

The square root of 88214496 is about 9392.2572366817. The cubic root of 88214496 is about 445.1571149123.

The spelling of 88214496 in words is "eighty-eight million, two hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 191 204 272 283 382 408 544 566 573 764 816 849 1132 1146 1528 1632 1698 2264 2292 3056 3247 3396 4528 4584 4811 6112 6494 6792 9056 9168 9622 9741 12988 13584 14433 18336 19244 19482 25976 27168 28866 38488 38964 51952 54053 57732 76976 77928 103904 108106 115464 153952 155856 162159 216212 230928 311712 324318 432424 461856 648636 864848 918901 1297272 1729696 1837802 2594544 2756703 3675604 5189088 5513406 7351208 11026812 14702416 22053624 29404832 44107248 88214496