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90497472 = 2631322789
BaseRepresentation
bin1010110010011…
…10000111000000
320022021202012020
411121032013000
5141131404342
612551401440
72146134012
oct531160700
9208252166
1090497472
11470a10aa
1226383280
1315997500
14c03a1b2
157e290ec
hex564e1c0

90497472 has 84 divisors (see below), whose sum is σ = 259369560. Its totient is φ = 27835392.

The previous prime is 90497453. The next prime is 90497483. The reversal of 90497472 is 27479409.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 31054 + ... + 33842.

Almost surely, 290497472 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 90497472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129684780).

90497472 is an abundant number, since it is smaller than the sum of its proper divisors (168872088).

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

90497472 is a wasteful number, since it uses less digits than its factorization.

90497472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2830 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 90497472 is about 9513.0159255622. The cubic root of 90497472 is about 448.9646518238.

The spelling of 90497472 in words is "ninety million, four hundred ninety-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 169 192 208 312 338 416 507 624 676 832 1014 1248 1352 2028 2496 2704 2789 4056 5408 5578 8112 8367 10816 11156 16224 16734 22312 32448 33468 36257 44624 66936 72514 89248 108771 133872 145028 178496 217542 267744 290056 435084 471341 535488 580112 870168 942682 1160224 1414023 1740336 1885364 2320448 2828046 3480672 3770728 5656092 6961344 7541456 11312184 15082912 22624368 30165824 45248736 90497472