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90520496 = 24113147353
BaseRepresentation
bin1010110010100…
…11101110110000
320022022220202222
411121103232300
5141133123441
612552100212
72146261103
oct531235660
9208286688
1090520496
1147107430
1226394668
13159a4b31
14c04473a
157e30d4b
hex5653bb0

90520496 has 80 divisors (see below), whose sum is σ = 202272768. Its totient is φ = 38860800.

The previous prime is 90520481. The next prime is 90520499. The reversal of 90520496 is 69402509.

It is not an unprimeable number, because it can be changed into a prime (90520499) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256256 + ... + 256608.

Almost surely, 290520496 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 90520496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101136384).

90520496 is an abundant number, since it is smaller than the sum of its proper divisors (111752272).

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

90520496 is a wasteful number, since it uses less digits than its factorization.

90520496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 450 (or 444 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The square root of 90520496 is about 9514.2259800785. The cubic root of 90520496 is about 449.0027231843.

The spelling of 90520496 in words is "ninety million, five hundred twenty thousand, four hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 31 44 47 62 88 94 124 176 188 248 341 353 376 496 517 682 706 752 1034 1364 1412 1457 2068 2728 2824 2914 3883 4136 5456 5648 5828 7766 8272 10943 11656 15532 16027 16591 21886 23312 31064 32054 33182 43772 62128 64108 66364 87544 120373 128216 132728 175088 182501 240746 256432 265456 365002 481492 514321 730004 962984 1028642 1460008 1925968 2057284 2920016 4114568 5657531 8229136 11315062 22630124 45260248 90520496