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88317312 = 2731783163
BaseRepresentation
bin1010100001110…
…01110110000000
320011011222120120
411100321312000
5140102123222
612432540240
72121453606
oct520716600
9204158516
1088317312
1145942116
12256b1680
13153b3085
14ba2d876
157b4815c
hex5439d80

88317312 has 128 divisors (see below), whose sum is σ = 252927360. Its totient is φ = 27205632.

The previous prime is 88317293. The next prime is 88317331. The reversal of 88317312 is 21371388.

It is an interprime number because it is at equal distance from previous prime (88317293) and next prime (88317331).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 541743 + ... + 541905.

It is an arithmetic number, because the mean of its divisors is an integer number (1975995).

Almost surely, 288317312 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 88317312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126463680).

88317312 is an abundant number, since it is smaller than the sum of its proper divisors (164610048).

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

88317312 is a wasteful number, since it uses less digits than its factorization.

88317312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 268 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 88317312 is about 9397.7290873913. The cubic root of 88317312 is about 445.3299946762.

The spelling of 88317312 in words is "eighty-eight million, three hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 83 96 102 128 136 163 166 192 204 249 272 326 332 384 408 489 498 544 652 664 816 978 996 1088 1304 1328 1411 1632 1956 1992 2176 2608 2656 2771 2822 3264 3912 3984 4233 5216 5312 5542 5644 6528 7824 7968 8313 8466 10432 10624 11084 11288 13529 15648 15936 16626 16932 20864 22168 22576 27058 31296 31872 33252 33864 40587 44336 45152 54116 62592 66504 67728 81174 88672 90304 108232 133008 135456 162348 177344 180608 216464 229993 266016 270912 324696 354688 432928 459986 532032 541824 649392 689979 865856 919972 1064064 1298784 1379958 1731712 1839944 2597568 2759916 3679888 5195136 5519832 7359776 11039664 14719552 22079328 29439104 44158656 88317312