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88213884 = 2231117192069
BaseRepresentation
bin1010100001000…
…00100101111100
320010222201200220
411100200211330
5140040321014
612430421340
72120543223
oct520404574
9203881626
1088213884
1145881440
1225661850
1315377c85
14ba03cba
157b276a9
hex542097c

88213884 has 96 divisors (see below), whose sum is σ = 250387200. Its totient is φ = 23823360.

The previous prime is 88213859. The next prime is 88213897. The reversal of 88213884 is 48831288.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

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 31 ways as a sum of consecutive naturals, for example, 41602 + ... + 43670.

It is an arithmetic number, because the mean of its divisors is an integer number (2608200).

Almost surely, 288213884 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 88213884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125193600).

88213884 is an abundant number, since it is smaller than the sum of its proper divisors (162173316).

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

88213884 is a wasteful number, since it uses less digits than its factorization.

88213884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2123 (or 2121 counting only the distinct ones).

The product of its digits is 98304, while the sum is 42.

The square root of 88213884 is about 9392.2246565976. The cubic root of 88213884 is about 445.1560854640.

The spelling of 88213884 in words is "eighty-eight million, two hundred thirteen thousand, eight hundred eighty-four".

Divisors: 1 2 3 4 6 11 12 17 19 22 33 34 38 44 51 57 66 68 76 102 114 132 187 204 209 228 323 374 418 561 627 646 748 836 969 1122 1254 1292 1938 2069 2244 2508 3553 3876 4138 6207 7106 8276 10659 12414 14212 21318 22759 24828 35173 39311 42636 45518 68277 70346 78622 91036 105519 117933 136554 140692 157244 211038 235866 273108 386903 422076 432421 471732 668287 773806 864842 1160709 1297263 1336574 1547612 1729684 2004861 2321418 2594526 2673148 4009722 4642836 5189052 7351157 8019444 14702314 22053471 29404628 44106942 88213884