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90664448 = 29741617
BaseRepresentation
bin1010110011101…
…10111000000000
320022121020020112
411121312320000
5141202230243
612555130452
72150430560
oct531667000
9208536215
1090664448
11471a55a6
1226443a28
1315a25504
14c080da0
157e5d818
hex5676e00

90664448 has 80 divisors (see below), whose sum is σ = 212423904. Its totient is φ = 37847040.

The previous prime is 90664439. The next prime is 90664471. The reversal of 90664448 is 84446609.

It is a super-2 number, since 2×906644482 = 16440084262289408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 146636 + ... + 147252.

Almost surely, 290664448 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 90664448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106211952).

90664448 is an abundant number, since it is smaller than the sum of its proper divisors (121759456).

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

90664448 is an equidigital number, since it uses as much as digits as its factorization.

90664448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 41.

The square root of 90664448 is about 9521.7880673747. The cubic root of 90664448 is about 449.2406089333.

The spelling of 90664448 in words is "ninety million, six hundred sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 128 164 224 256 287 328 448 512 574 617 656 896 1148 1234 1312 1792 2296 2468 2624 3584 4319 4592 4936 5248 8638 9184 9872 10496 17276 18368 19744 20992 25297 34552 36736 39488 50594 69104 73472 78976 101188 138208 146944 157952 177079 202376 276416 315904 354158 404752 552832 708316 809504 1105664 1416632 1619008 2211328 2833264 3238016 5666528 6476032 11333056 12952064 22666112 45332224 90664448