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253832004 = 22327050889
BaseRepresentation
bin11110010000100…
…10101101000100
3122200122000001100
433020102231010
51004440111004
641104300100
76201351666
oct1710225504
9580560040
10253832004
11120310818
1271011630
134078496a
14259d6536
151743e739
hexf212b44

253832004 has 18 divisors (see below), whose sum is σ = 641630990. Its totient is φ = 84610656.

The previous prime is 253832003. The next prime is 253832009. The reversal of 253832004 is 400238352.

It can be written as a sum of positive squares in only one way, i.e., 175509504 + 78322500 = 13248^2 + 8850^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-3 number, since 3×2538320043 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (253832003) 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, 3525409 + ... + 3525480.

Almost surely, 2253832004 is an apocalyptic number.

It is an amenable number.

253832004 is an abundant number, since it is smaller than the sum of its proper divisors (387798986).

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

253832004 is a wasteful number, since it uses less digits than its factorization.

253832004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7050899 (or 7050894 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 253832004 is about 15932.1060754691. The cubic root of 253832004 is about 633.1628999075.

The spelling of 253832004 in words is "two hundred fifty-three million, eight hundred thirty-two thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 7050889 14101778 21152667 28203556 42305334 63458001 84610668 126916002 253832004