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90311956 = 22717337563
BaseRepresentation
bin1010110001000…
…00110100010100
320021221022201021
411120200310110
5141104440311
612543410524
72144432110
oct530406424
9207838637
1090311956
1146a84789
12262b3a44
1315930c37
14bdcc740
157dde171
hex5620d14

90311956 has 48 divisors (see below), whose sum is σ = 192157056. Its totient is φ = 36255744.

The previous prime is 90311953. The next prime is 90311983. The reversal of 90311956 is 65911309.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90311953) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 160131 + ... + 160693.

It is an arithmetic number, because the mean of its divisors is an integer number (4003272).

Almost surely, 290311956 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 90311956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96078528).

90311956 is an abundant number, since it is smaller than the sum of its proper divisors (101845100).

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

90311956 is a wasteful number, since it uses less digits than its factorization.

90311956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 928 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 34.

The square root of 90311956 is about 9503.2602826609. The cubic root of 90311956 is about 448.6576557528.

The spelling of 90311956 in words is "ninety million, three hundred eleven thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 337 476 563 674 1126 1348 2252 2359 3941 4718 5729 7882 9436 9571 11458 15764 19142 22916 38284 40103 66997 80206 133994 160412 189731 267988 379462 758924 1328117 2656234 3225427 5312468 6450854 12901708 22577989 45155978 90311956