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5642424800 = 25527053031
BaseRepresentation
bin1010100000101000…
…01001000111100000
3112120020012212201022
411100110021013200
543023430043200
62331520425012
7256552551035
oct52024110740
915506185638
105642424800
1124360022a1
121115778168
136bbc8c8cc
143b752d38c
15230554885
hex1505091e0

5642424800 has 36 divisors (see below), whose sum is σ = 13774571496. Its totient is φ = 2256969600.

The previous prime is 5642424773. The next prime is 5642424811. The reversal of 5642424800 is 84242465.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3525716 + ... + 3527315.

It is an arithmetic number, because the mean of its divisors is an integer number (382626986).

Almost surely, 25642424800 is an apocalyptic number.

5642424800 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5642424800 is an abundant number, since it is smaller than the sum of its proper divisors (8132146696).

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

5642424800 is a wasteful number, since it uses less digits than its factorization.

5642424800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7053051 (or 7053038 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 35.

The square root of 5642424800 is about 75116.0755098401. The cubic root of 5642424800 is about 1780.2811490425.

The spelling of 5642424800 in words is "five billion, six hundred forty-two million, four hundred twenty-four thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 7053031 14106062 28212124 35265155 56424248 70530310 112848496 141060620 176325775 225696992 282121240 352651550 564242480 705303100 1128484960 1410606200 2821212400 5642424800