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90123552 = 2532312929
BaseRepresentation
bin1010101111100…
…10110100100000
320021120202021100
411113302310200
5141032423202
612535354400
72143015611
oct527626440
9207522240
1090123552
1146966182
1226222a00
131589625c
14bd7dc08
157da341c
hex55f2d20

90123552 has 36 divisors (see below), whose sum is σ = 256289670. Its totient is φ = 30041088.

The previous prime is 90123529. The next prime is 90123563. The reversal of 90123552 is 25532109.

90123552 is a `hidden beast` number, since 90 + 1 + 23 + 552 = 666.

It can be written as a sum of positive squares in only one way, i.e., 88284816 + 1838736 = 9396^2 + 1356^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 5 ways as a sum of consecutive naturals, for example, 156177 + ... + 156752.

Almost surely, 290123552 is an apocalyptic number.

It is an amenable number.

90123552 is an abundant number, since it is smaller than the sum of its proper divisors (166166118).

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

90123552 is a wasteful number, since it uses less digits than its factorization.

90123552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312945 (or 312934 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 90123552 is about 9493.3425093589. The cubic root of 90123552 is about 448.3454499688.

The spelling of 90123552 in words is "ninety million, one hundred twenty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 312929 625858 938787 1251716 1877574 2503432 2816361 3755148 5006864 5632722 7510296 10013728 11265444 15020592 22530888 30041184 45061776 90123552