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90611496 = 233217181409
BaseRepresentation
bin1010110011010…
…01111100101000
320022111112121100
411121221330220
5141144031441
612554041400
72150120313
oct531517450
9208445540
1090611496
1147169838
1226419260
1315a07391
14c06997a
157e4ccb6
hex5669f28

90611496 has 96 divisors (see below), whose sum is σ = 261916200. Its totient is φ = 28200960.

The previous prime is 90611473. The next prime is 90611533. The reversal of 90611496 is 69411609.

It can be written as a sum of positive squares in 4 ways, for example, as 80460900 + 10150596 = 8970^2 + 3186^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 90611496.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 221340 + ... + 221748.

Almost surely, 290611496 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 90611496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130958100).

90611496 is an abundant number, since it is smaller than the sum of its proper divisors (171304704).

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

90611496 is a wasteful number, since it uses less digits than its factorization.

90611496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619 (or 612 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 90611496 is about 9519.0070910784. The cubic root of 90611496 is about 449.1531331848.

The spelling of 90611496 in words is "ninety million, six hundred eleven thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 181 204 306 362 408 409 543 612 724 818 1086 1224 1227 1448 1629 1636 2172 2454 3077 3258 3272 3681 4344 4908 6154 6516 6953 7362 9231 9816 12308 13032 13906 14724 18462 20859 24616 27693 27812 29448 36924 41718 55386 55624 62577 73848 74029 83436 110772 125154 148058 166872 221544 222087 250308 296116 444174 500616 592232 666261 888348 1258493 1332522 1776696 2516986 2665044 3775479 5033972 5330088 7550958 10067944 11326437 15101916 22652874 30203832 45305748 90611496