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90098256 = 2433797523
BaseRepresentation
bin1010101111011…
…00101001010000
320021112110120110
411113230221100
5141031121011
612535041320
72142552063
oct527545120
9207473513
1090098256
1146949176
1226210240
13158878a1
14bd748da
157d9aba6
hex55eca50

90098256 has 80 divisors (see below), whose sum is σ = 241970624. Its totient is φ = 28864512.

The previous prime is 90098237. The next prime is 90098257. The reversal of 90098256 is 65289009.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90098257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172011 + ... + 172533.

Almost surely, 290098256 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 90098256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120985312).

90098256 is an abundant number, since it is smaller than the sum of its proper divisors (151872368).

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

90098256 is a wasteful number, since it uses less digits than its factorization.

90098256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 662 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 90098256 is about 9492.0101137746. The cubic root of 90098256 is about 448.3034986419.

The spelling of 90098256 in words is "ninety million, ninety-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 97 111 148 194 222 291 296 388 444 523 582 592 776 888 1046 1164 1552 1569 1776 2092 2328 3138 3589 4184 4656 6276 7178 8368 10767 12552 14356 19351 21534 25104 28712 38702 43068 50731 57424 58053 77404 86136 101462 116106 152193 154808 172272 202924 232212 304386 309616 405848 464424 608772 811696 928848 1217544 1877047 2435088 3754094 5631141 7508188 11262282 15016376 22524564 30032752 45049128 90098256