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90948096 = 29351743
BaseRepresentation
bin1010110101111…
…00001000000000
320100010122100000
411122330020000
5141240314341
613005200000
72153021541
oct532741000
9210118300
1090948096
1147379718
1226560000
1315ac4655
14c1164c8
157eb78b6
hex56bc200

90948096 has 240 divisors, whose sum is σ = 294918624. Its totient is φ = 27869184.

The previous prime is 90948083. The next prime is 90948101. The reversal of 90948096 is 69084909.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2115051 + ... + 2115093.

Almost surely, 290948096 is an apocalyptic number.

90948096 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 90948096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147459312).

90948096 is an abundant number, since it is smaller than the sum of its proper divisors (203970528).

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

90948096 is an equidigital number, since it uses as much as digits as its factorization.

90948096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 90948096 is about 9536.6711173239. The cubic root of 90948096 is about 449.7086113577.

The spelling of 90948096 in words is "ninety million, nine hundred forty-eight thousand, ninety-six".