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5608004160 = 2635113137463
BaseRepresentation
bin1010011100100001…
…10101101001000000
3112110211110010110210
411032100311221000
542441122113120
62324250554120
7255654151233
oct51620655100
915424403423
105608004160
112418632590
121106138940
136b4aca775
143b2b2d41a
1522c505ce0
hex14e435a40

5608004160 has 448 divisors, whose sum is σ = 20637057024. Its totient is φ = 1277337600.

The previous prime is 5608004159. The next prime is 5608004161. The reversal of 5608004160 is 614008065.

It is an interprime number because it is at equal distance from previous prime (5608004159) and next prime (5608004161).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (5608004161) 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 63 ways as a sum of consecutive naturals, for example, 12112089 + ... + 12112551.

Almost surely, 25608004160 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 5608004160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10318528512).

5608004160 is an abundant number, since it is smaller than the sum of its proper divisors (15029052864).

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

5608004160 is a wasteful number, since it uses less digits than its factorization.

5608004160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 562 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 5608004160 is about 74886.6086827278. The cubic root of 5608004160 is about 1776.6536632912.

The spelling of 5608004160 in words is "five billion, six hundred eight million, four thousand, one hundred sixty".