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90909056 = 277241421
BaseRepresentation
bin1010110101100…
…10100110000000
320100001122210002
411122302212000
5141233042211
613004255132
72152466660
oct532624600
9210048702
1090909056
1147352357
12265414a8
1315aac954
14c1061a0
157eab03b
hex56b2980

90909056 has 64 divisors (see below), whose sum is σ = 208332960. Its totient is φ = 38707200.

The previous prime is 90909031. The next prime is 90909059. The reversal of 90909056 is 65090909.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×909090562 = 16528912925622272, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90909059) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 215726 + ... + 216146.

Almost surely, 290909056 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 90909056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104166480).

90909056 is an abundant number, since it is smaller than the sum of its proper divisors (117423904).

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

90909056 is a wasteful number, since it uses less digits than its factorization.

90909056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 38.

The square root of 90909056 is about 9534.6240618076. The cubic root of 90909056 is about 449.6442554681.

The spelling of 90909056 in words is "ninety million, nine hundred nine thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 241 421 448 482 842 896 964 1684 1687 1928 2947 3368 3374 3856 5894 6736 6748 7712 11788 13472 13496 15424 23576 26944 26992 30848 47152 53888 53984 94304 101461 107968 188608 202922 215936 377216 405844 710227 811688 1420454 1623376 2840908 3246752 5681816 6493504 11363632 12987008 22727264 45454528 90909056