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90838528 = 29111272
BaseRepresentation
bin1010110101000…
…01011000000000
320022221002000221
411122201120000
5141223313103
613002552424
72152054234
oct532413000
9208832027
1090838528
1147304370
1226508714
1315a86811
14c0c85c4
157e951bd
hex56a1600

90838528 has 60 divisors (see below), whose sum is σ = 199570932. Its totient is φ = 40965120.

The previous prime is 90838519. The next prime is 90838541. The reversal of 90838528 is 82583809.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 715201 + ... + 715327.

Almost surely, 290838528 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 90838528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99785466).

90838528 is an abundant number, since it is smaller than the sum of its proper divisors (108732404).

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

90838528 is an equidigital number, since it uses as much as digits as its factorization.

90838528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 90838528 is about 9530.9248239612. The cubic root of 90838528 is about 449.5279461369.

The spelling of 90838528 in words is "ninety million, eight hundred thirty-eight thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 127 128 176 254 256 352 508 512 704 1016 1397 1408 2032 2794 2816 4064 5588 5632 8128 11176 16129 16256 22352 32258 32512 44704 64516 65024 89408 129032 177419 178816 258064 354838 357632 516128 709676 715264 1032256 1419352 2064512 2838704 4129024 5677408 8258048 11354816 22709632 45419264 90838528