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90886464 = 2632295441
BaseRepresentation
bin1010110101011…
…01000101000000
320100000111210100
411122231011000
5141231331324
613004002400
72152344054
oct532550500
9210014710
1090886464
1147337389
1226530400
1315aa2596
14c0dbc64
157ea44c9
hex56ad140

90886464 has 84 divisors (see below), whose sum is σ = 269542260. Its totient is φ = 29245440.

The previous prime is 90886459. The next prime is 90886483. The reversal of 90886464 is 46468809.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 57153600 + 33732864 = 7560^2 + 5808^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13984 + ... + 19424.

Almost surely, 290886464 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 90886464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134771130).

90886464 is an abundant number, since it is smaller than the sum of its proper divisors (178655796).

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

90886464 is a wasteful number, since it uses less digits than its factorization.

90886464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5488 (or 5475 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 90886464 is about 9533.4392534908. The cubic root of 90886464 is about 449.6070050369.

The spelling of 90886464 in words is "ninety million, eight hundred eighty-six thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 64 72 87 96 116 144 174 192 232 261 288 348 464 522 576 696 928 1044 1392 1856 2088 2784 4176 5441 5568 8352 10882 16323 16704 21764 32646 43528 48969 65292 87056 97938 130584 157789 174112 195876 261168 315578 348224 391752 473367 522336 631156 783504 946734 1044672 1262312 1420101 1567008 1893468 2524624 2840202 3134016 3786936 5049248 5680404 7573872 10098496 11360808 15147744 22721616 30295488 45443232 90886464