Search a number
-
+
90595904 = 26734127
BaseRepresentation
bin1010110011001…
…10001001000000
320022110202012212
411121212021000
5141143032104
612553441252
72150024000
oct531461100
9208422185
1090595904
1147159053
1226410228
1315a00259
14c064000
157e4836e
hex5666240

90595904 has 56 divisors (see below), whose sum is σ = 209702400. Its totient is φ = 38817408.

The previous prime is 90595903. The next prime is 90595909. The reversal of 90595904 is 40959509.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (90595903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19889 + ... + 24015.

Almost surely, 290595904 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 90595904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104851200).

90595904 is an abundant number, since it is smaller than the sum of its proper divisors (119106496).

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

90595904 is an equidigital number, since it uses as much as digits as its factorization.

90595904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4160 (or 4136 counting only the distinct ones).

The product of its (nonzero) digits is 72900, while the sum is 41.

The square root of 90595904 is about 9518.1880628615. The cubic root of 90595904 is about 449.1273689875.

The spelling of 90595904 in words is "ninety million, five hundred ninety-five thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 343 392 448 686 784 1372 1568 2744 3136 4127 5488 8254 10976 16508 21952 28889 33016 57778 66032 115556 132064 202223 231112 264128 404446 462224 808892 924448 1415561 1617784 1848896 2831122 3235568 5662244 6471136 11324488 12942272 22648976 45297952 90595904