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90936672 = 2531755721
BaseRepresentation
bin1010110101110…
…01010101100000
320100010001122220
411122321111200
5141234433142
613005031040
72152643331
oct532712540
9210101586
1090936672
1147371082
1226555480
1315abc3a8
14c112288
157eb42ec
hex56b9560

90936672 has 48 divisors (see below), whose sum is σ = 252754992. Its totient is φ = 28528640.

The previous prime is 90936667. The next prime is 90936697. The reversal of 90936672 is 27663909.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26229 + ... + 29492.

It is an arithmetic number, because the mean of its divisors is an integer number (5265729).

Almost surely, 290936672 is an apocalyptic number.

It is an amenable number.

90936672 is an abundant number, since it is smaller than the sum of its proper divisors (161818320).

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

90936672 is a wasteful number, since it uses less digits than its factorization.

90936672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55751 (or 55743 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 42.

The square root of 90936672 is about 9536.0721473781. The cubic root of 90936672 is about 449.6897812538.

The spelling of 90936672 in words is "ninety million, nine hundred thirty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 816 1632 55721 111442 167163 222884 334326 445768 668652 891536 947257 1337304 1783072 1894514 2674608 2841771 3789028 5349216 5683542 7578056 11367084 15156112 22734168 30312224 45468336 90936672