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90411264 = 283239241
BaseRepresentation
bin1010110001110…
…01000100000000
320022010100221100
411120321010000
5141121130024
612545454400
72145324456
oct530710400
9208110840
1090411264
1147042359
1226341400
13159671b8
14c0169d6
157e0d7c9
hex5639100

90411264 has 54 divisors (see below), whose sum is σ = 260684606. Its totient is φ = 30136320.

The previous prime is 90411257. The next prime is 90411271. The reversal of 90411264 is 46211409.

It is an interprime number because it is at equal distance from previous prime (90411257) and next prime (90411271).

It can be written as a sum of positive squares in only one way, i.e., 67371264 + 23040000 = 8208^2 + 4800^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17317 + ... + 21924.

Almost surely, 290411264 is an apocalyptic number.

It is an amenable number.

90411264 is an abundant number, since it is smaller than the sum of its proper divisors (170273342).

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

90411264 is a wasteful number, since it uses less digits than its factorization.

90411264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39263 (or 39246 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 90411264 is about 9508.4837908049. The cubic root of 90411264 is about 448.8220451104.

The spelling of 90411264 in words is "ninety million, four hundred eleven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 39241 78482 117723 156964 235446 313928 353169 470892 627856 706338 941784 1255712 1412676 1883568 2511424 2825352 3767136 5022848 5650704 7534272 10045696 11301408 15068544 22602816 30137088 45205632 90411264