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290635272 = 23324036601
BaseRepresentation
bin10001010100101…
…011111000001000
3202020212210122100
4101110223320020
51043400312042
644501153400
710126234104
oct2124537010
9666783570
10290635272
1113a068644
12813bb860
134829c445
142a856904
151a7ae24c
hex1152be08

290635272 has 24 divisors (see below), whose sum is σ = 787137390. Its totient is φ = 96878400.

The previous prime is 290635253. The next prime is 290635273. The reversal of 290635272 is 272536092.

It can be written as a sum of positive squares in only one way, i.e., 256832676 + 33802596 = 16026^2 + 5814^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×2906352722 = 168937722661027968, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (290635273) 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, 2018229 + ... + 2018372.

Almost surely, 2290635272 is an apocalyptic number.

It is an amenable number.

290635272 is an abundant number, since it is smaller than the sum of its proper divisors (496502118).

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

290635272 is a wasteful number, since it uses less digits than its factorization.

290635272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4036613 (or 4036606 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 290635272 is about 17048.0283904034. The cubic root of 290635272 is about 662.3935679030.

The spelling of 290635272 in words is "two hundred ninety million, six hundred thirty-five thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 4036601 8073202 12109803 16146404 24219606 32292808 36329409 48439212 72658818 96878424 145317636 290635272