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5742528768 = 28322492417
BaseRepresentation
bin1010101100100100…
…00000100100000000
3112211012120200112200
411112102000210000
543230041410033
62345454153200
7262206455244
oct52622004400
915735520480
105742528768
112487564949
1211431b2800
1370693b822
143c694a424
1523922a013
hex156480900

5742528768 has 54 divisors (see below), whose sum is σ = 16557132774. Its totient is φ = 1914175488.

The previous prime is 5742528767. The next prime is 5742528769. The reversal of 5742528768 is 8678252475.

5742528768 is a `hidden beast` number, since 5 + 7 + 42 + 528 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5742528767) and next prime (5742528769).

It can be written as a sum of positive squares in only one way, i.e., 5614205184 + 128323584 = 74928^2 + 11328^2 .

It is not an unprimeable number, because it can be changed into a prime (5742528767) 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, 1243905 + ... + 1248512.

Almost surely, 25742528768 is an apocalyptic number.

It is an amenable number.

5742528768 is an abundant number, since it is smaller than the sum of its proper divisors (10814604006).

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

5742528768 is a wasteful number, since it uses less digits than its factorization.

5742528768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492439 (or 2492422 counting only the distinct ones).

The product of its digits is 7526400, while the sum is 54.

The square root of 5742528768 is about 75779.4745825016. The cubic root of 5742528768 is about 1790.7476634883.

The spelling of 5742528768 in words is "five billion, seven hundred forty-two million, five hundred twenty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 2492417 4984834 7477251 9969668 14954502 19939336 22431753 29909004 39878672 44863506 59818008 79757344 89727012 119636016 159514688 179454024 239272032 319029376 358908048 478544064 638058752 717816096 957088128 1435632192 1914176256 2871264384 5742528768