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5617828872 = 23348669489
BaseRepresentation
bin1010011101101100…
…10100010000001000
3112111111221021110000
411032312110100020
543001131010442
62325241323000
7256133520555
oct51666242010
915444837400
105617828872
112423132a87
121109496460
136b6b5a5c6
143b4169a2c
1522d2e6d4c
hex14ed94408

5617828872 has 40 divisors (see below), whose sum is σ = 15735124350. Its totient is φ = 1872609408.

The previous prime is 5617828861. The next prime is 5617828877. The reversal of 5617828872 is 2788287165.

5617828872 is a `hidden beast` number, since 561 + 7 + 8 + 2 + 8 + 8 + 72 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4500531396 + 1117297476 = 67086^2 + 33426^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (5617828877) 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 9 ways as a sum of consecutive naturals, for example, 4334097 + ... + 4335392.

Almost surely, 25617828872 is an apocalyptic number.

It is an amenable number.

5617828872 is an abundant number, since it is smaller than the sum of its proper divisors (10117295478).

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

5617828872 is a wasteful number, since it uses less digits than its factorization.

5617828872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8669507 (or 8669494 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 54.

The square root of 5617828872 is about 74952.1772332198. The cubic root of 5617828872 is about 1777.6905697511.

The spelling of 5617828872 in words is "five billion, six hundred seventeen million, eight hundred twenty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 8669489 17338978 26008467 34677956 52016934 69355912 78025401 104033868 156050802 208067736 234076203 312101604 468152406 624203208 702228609 936304812 1404457218 1872609624 2808914436 5617828872