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90465456 = 24313114387
BaseRepresentation
bin1010110010001…
…10010010110000
320022020010021110
411121012102300
5141124343311
612550553320
72145641454
oct531062260
9208203243
1090465456
114707a044
1226368840
1315985a73
14c02c664
157e1e8a6
hex56464b0

90465456 has 40 divisors (see below), whose sum is σ = 235502784. Its totient is φ = 29922880.

The previous prime is 90465433. The next prime is 90465457. The reversal of 90465456 is 65456409.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (90465457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 906 + ... + 13481.

Almost surely, 290465456 is an apocalyptic number.

It is an amenable number.

90465456 is an abundant number, since it is smaller than the sum of its proper divisors (145037328).

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

90465456 is a wasteful number, since it uses less digits than its factorization.

90465456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14529 (or 14523 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 39.

The square root of 90465456 is about 9511.3330296021. Note that the first 3 decimals coincide. The cubic root of 90465456 is about 448.9117009977.

The spelling of 90465456 in words is "ninety million, four hundred sixty-five thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 131 262 393 524 786 1048 1572 2096 3144 6288 14387 28774 43161 57548 86322 115096 172644 230192 345288 690576 1884697 3769394 5654091 7538788 11308182 15077576 22616364 30155152 45232728 90465456