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90576896 = 21147941
BaseRepresentation
bin1010110011000…
…01100000000000
320022102210010212
411121201200000
5141141430041
612553213252
72146614404
oct531414000
9208383125
1090576896
1147145843
1226401228
13159c46c7
14c05b104
157e428eb
hex5661800

90576896 has 48 divisors (see below), whose sum is σ = 185159520. Its totient is φ = 44277760.

The previous prime is 90576869. The next prime is 90576917. The reversal of 90576896 is 69867509.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 95786 + ... + 96726.

It is an arithmetic number, because the mean of its divisors is an integer number (3857490).

Almost surely, 290576896 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 90576896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92579760).

90576896 is an abundant number, since it is smaller than the sum of its proper divisors (94582624).

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

90576896 is an equidigital number, since it uses as much as digits as its factorization.

90576896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1010 (or 990 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 50.

The square root of 90576896 is about 9517.1895011080. The cubic root of 90576896 is about 449.0959561981.

The spelling of 90576896 in words is "ninety million, five hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 256 376 512 752 941 1024 1504 1882 2048 3008 3764 6016 7528 12032 15056 24064 30112 44227 48128 60224 88454 96256 120448 176908 240896 353816 481792 707632 963584 1415264 1927168 2830528 5661056 11322112 22644224 45288448 90576896