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90496384 = 271125843
BaseRepresentation
bin1010110010011…
…01110110000000
320022021200200221
411121031312000
5141131341014
612551352424
72146130566
oct531156600
9208250627
1090496384
11470a0300
1226382714
1315996b74
14c039a36
157e28b24
hex564dd80

90496384 has 48 divisors (see below), whose sum is σ = 198199260. Its totient is φ = 41127680.

The previous prime is 90496363. The next prime is 90496391. The reversal of 90496384 is 48369409.

It is a self number, because there is not a number n which added to its sum of digits gives 90496384.

It is a congruent number.

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, 12567 + ... + 18409.

Almost surely, 290496384 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 90496384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99099630).

90496384 is an abundant number, since it is smaller than the sum of its proper divisors (107702876).

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

90496384 is a wasteful number, since it uses less digits than its factorization.

90496384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5879 (or 5856 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 90496384 is about 9512.9587405812. The cubic root of 90496384 is about 448.9628526004.

The spelling of 90496384 in words is "ninety million, four hundred ninety-six thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 352 484 704 968 1408 1936 3872 5843 7744 11686 15488 23372 46744 64273 93488 128546 186976 257092 373952 514184 707003 747904 1028368 1414006 2056736 2828012 4113472 5656024 8226944 11312048 22624096 45248192 90496384