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90260496 = 2432626809
BaseRepresentation
bin1010110000101…
…00010000010000
320021211201010100
411120110100100
5141101313441
612542332400
72144126064
oct530242020
9207751110
1090260496
1146a4a057
122628a100
13159136a1
14bdb7aa4
157dcdcb6
hex5614410

90260496 has 30 divisors (see below), whose sum is σ = 252604430. Its totient is φ = 30086784.

The previous prime is 90260491. The next prime is 90260519. The reversal of 90260496 is 69406209.

It can be written as a sum of positive squares in only one way, i.e., 51322896 + 38937600 = 7164^2 + 6240^2 .

It is a super-4 number, since 4×902604964 (a number of 33 digits) contains 4444 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 90260496.

It is not an unprimeable number, because it can be changed into a prime (90260491) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 313261 + ... + 313548.

Almost surely, 290260496 is an apocalyptic number.

It is an amenable number.

90260496 is an abundant number, since it is smaller than the sum of its proper divisors (162343934).

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

90260496 is a wasteful number, since it uses less digits than its factorization.

90260496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 626823 (or 626814 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 90260496 is about 9500.5524049920. The cubic root of 90260496 is about 448.5724241085.

The spelling of 90260496 in words is "ninety million, two hundred sixty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 626809 1253618 1880427 2507236 3760854 5014472 5641281 7521708 10028944 11282562 15043416 22565124 30086832 45130248 90260496