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90332088 = 23372116983
BaseRepresentation
bin1010110001001…
…01101110111000
320021222100022220
411120211232320
5141111111323
612544044040
72144544600
oct530455670
9207870286
1090332088
1146a98920
1226303620
131593a152
14bdd5c00
157de50e3
hex5625bb8

90332088 has 96 divisors (see below), whose sum is σ = 286623360. Its totient is φ = 23459520.

The previous prime is 90332057. The next prime is 90332089. The reversal of 90332088 is 88023309.

It is a super-2 number, since 2×903320882 = 16319772244879488, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90332089) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9445 + ... + 16427.

It is an arithmetic number, because the mean of its divisors is an integer number (2985660).

Almost surely, 290332088 is an apocalyptic number.

90332088 is a gapful number since it is divisible by the number (98) 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 90332088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143311680).

90332088 is an abundant number, since it is smaller than the sum of its proper divisors (196291272).

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

90332088 is a wasteful number, since it uses less digits than its factorization.

90332088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7017 (or 7006 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 90332088 is about 9504.3194390761. The cubic root of 90332088 is about 448.6909909658.

The spelling of 90332088 in words is "ninety million, three hundred thirty-two thousand, eighty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 392 462 539 588 616 924 1078 1176 1617 1848 2156 3234 4312 6468 6983 12936 13966 20949 27932 41898 48881 55864 76813 83796 97762 146643 153626 167592 195524 230439 293286 307252 342167 391048 460878 537691 586572 614504 684334 921756 1026501 1075382 1173144 1368668 1613073 1843512 2053002 2150764 2737336 3226146 3763837 4106004 4301528 6452292 7527674 8212008 11291511 12904584 15055348 22583022 30110696 45166044 90332088