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90661464 = 23331922091
BaseRepresentation
bin1010110011101…
…10001001011000
320022121002011000
411121312021120
5141202131324
612555105000
72150416065
oct531661130
9208532130
1090661464
11471a3333
1226442160
1315a2404a
14c07dc6c
157e5c9c9
hex5676258

90661464 has 64 divisors (see below), whose sum is σ = 265104000. Its totient is φ = 28628640.

The previous prime is 90661411. The next prime is 90661477. The reversal of 90661464 is 46416609.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6942 + ... + 15149.

It is an arithmetic number, because the mean of its divisors is an integer number (4142250).

Almost surely, 290661464 is an apocalyptic number.

It is an amenable number.

90661464 is an abundant number, since it is smaller than the sum of its proper divisors (174442536).

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

90661464 is a wasteful number, since it uses less digits than its factorization.

90661464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22125 (or 22115 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 90661464 is about 9521.6313728268. The cubic root of 90661464 is about 449.2356803248.

It can be divided in two parts, 90661 and 464, that added together give a cube (91125 = 453).

The spelling of 90661464 in words is "ninety million, six hundred sixty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 108 114 152 171 216 228 342 456 513 684 1026 1368 2052 4104 22091 44182 66273 88364 132546 176728 198819 265092 397638 419729 530184 596457 795276 839458 1192914 1259187 1590552 1678916 2385828 2518374 3357832 3777561 4771656 5036748 7555122 10073496 11332683 15110244 22665366 30220488 45330732 90661464