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90959712 = 2531039199
BaseRepresentation
bin1010110101111…
…10111101100000
320100011020021020
411122332331200
5141241202322
613005325440
72153100444
oct532767540
9210136236
1090959712
1147387418
1226566880
1315ac9a1c
14c11a824
157ebb05c
hex56bef60

90959712 has 48 divisors (see below), whose sum is σ = 241113600. Its totient is φ = 30022272.

The previous prime is 90959681. The next prime is 90959761. The reversal of 90959712 is 21795909.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5289 + ... + 14487.

It is an arithmetic number, because the mean of its divisors is an integer number (5023200).

Almost surely, 290959712 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 90959712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120556800).

90959712 is an abundant number, since it is smaller than the sum of its proper divisors (150153888).

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

90959712 is a wasteful number, since it uses less digits than its factorization.

90959712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9315 (or 9307 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 42.

The square root of 90959712 is about 9537.2801154207. The cubic root of 90959712 is about 449.7277563173.

The spelling of 90959712 in words is "ninety million, nine hundred fifty-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1236 1648 2472 3296 4944 9199 9888 18398 27597 36796 55194 73592 110388 147184 220776 294368 441552 883104 947497 1894994 2842491 3789988 5684982 7579976 11369964 15159952 22739928 30319904 45479856 90959712