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90432832 = 267228837
BaseRepresentation
bin1010110001111…
…10010101000000
320022011110112011
411120332111000
5141122322312
612550142304
72145444400
oct530762500
9208143464
1090432832
1147057586
1226351994
1315973c69
14c020800
157e14da7
hex563e540

90432832 has 42 divisors (see below), whose sum is σ = 208758282. Its totient is φ = 38755584.

The previous prime is 90432767. The next prime is 90432833. The reversal of 90432832 is 23823409.

It can be written as a sum of positive squares in only one way, i.e., 81288256 + 9144576 = 9016^2 + 3024^2 .

It is a junction number, because it is equal to n+sod(n) for n = 90432794 and 90432803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90432833) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11283 + ... + 17554.

Almost surely, 290432832 is an apocalyptic number.

It is an amenable number.

90432832 is an abundant number, since it is smaller than the sum of its proper divisors (118325450).

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

90432832 is a wasteful number, since it uses less digits than its factorization.

90432832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28863 (or 28846 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 90432832 is about 9509.6178682427. The cubic root of 90432832 is about 448.8577317561.

The spelling of 90432832 in words is "ninety million, four hundred thirty-two thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 28837 57674 115348 201859 230696 403718 461392 807436 922784 1413013 1614872 1845568 2826026 3229744 5652052 6459488 11304104 12918976 22608208 45216416 90432832