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5142256056 = 233373400963
BaseRepresentation
bin1001100101000000…
…01001100110111000
3111021101001200012000
410302200021212320
541012404143211
62210132221000
7241300312110
oct46240114670
914241050160
105142256056
1121a97400a3
12bb616a760
1363c478a82
1436ad32040
152016a6656
hex1328099b8

5142256056 has 64 divisors (see below), whose sum is σ = 16324627200. Its totient is φ = 1469215584.

The previous prime is 5142256051. The next prime is 5142256057. The reversal of 5142256056 is 6506522415.

5142256056 is a `hidden beast` number, since 5 + 1 + 42 + 2 + 5 + 605 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5142256056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5142256051) 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 15 ways as a sum of consecutive naturals, for example, 1698970 + ... + 1701993.

It is an arithmetic number, because the mean of its divisors is an integer number (255072300).

Almost surely, 25142256056 is an apocalyptic number.

5142256056 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5142256056 is an abundant number, since it is smaller than the sum of its proper divisors (11182371144).

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

5142256056 is a wasteful number, since it uses less digits than its factorization.

5142256056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3400985 (or 3400975 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 5142256056 is about 71709.5255597191. The cubic root of 5142256056 is about 1726.0414973282.

The spelling of 5142256056 in words is "five billion, one hundred forty-two million, two hundred fifty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 3400963 6801926 10202889 13603852 20405778 23806741 27207704 30608667 40811556 47613482 61217334 71420223 81623112 91826001 95226964 122434668 142840446 183652002 190453928 214260669 244869336 285680892 367304004 428521338 571361784 642782007 734608008 857042676 1285564014 1714085352 2571128028 5142256056