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90863424 = 263352583
BaseRepresentation
bin1010110101001…
…11011101000000
320022222100012000
411122213131000
5141230112144
613003304000
72152216641
oct532473500
9208870160
1090863424
1147321043
122651b000
1315a94c52
14c0d36c8
157e9c769
hex56a7740

90863424 has 56 divisors (see below), whose sum is σ = 267126720. Its totient is φ = 30287232.

The previous prime is 90863411. The next prime is 90863431. The reversal of 90863424 is 42436809.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 24564 + ... + 28019.

It is an arithmetic number, because the mean of its divisors is an integer number (4770120).

Almost surely, 290863424 is an apocalyptic number.

It is an amenable number.

90863424 is an abundant number, since it is smaller than the sum of its proper divisors (176263296).

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

90863424 is a wasteful number, since it uses less digits than its factorization.

90863424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52604 (or 52588 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 90863424 is about 9532.2307987165. The cubic root of 90863424 is about 449.5690095701.

The spelling of 90863424 in words is "ninety million, eight hundred sixty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 432 576 864 1728 52583 105166 157749 210332 315498 420664 473247 630996 841328 946494 1261992 1419741 1682656 1892988 2523984 2839482 3365312 3785976 5047968 5678964 7571952 10095936 11357928 15143904 22715856 30287808 45431712 90863424