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52056144 = 24327431201
BaseRepresentation
bin1100011010010…
…1000001010000
310121221201121100
43012211001100
5101311244034
65055424400
71201320120
oct306450120
9117851540
1052056144
1127425608
1215525100
13aa2826a
146cb0c80
154884099
hex31a5050

52056144 has 120 divisors (see below), whose sum is σ = 170510912. Its totient is φ = 14515200.

The previous prime is 52056133. The next prime is 52056149. The reversal of 52056144 is 44165025.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52056149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42744 + ... + 43944.

Almost surely, 252056144 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 52056144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85255456).

52056144 is an abundant number, since it is smaller than the sum of its proper divisors (118454768).

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

52056144 is a wasteful number, since it uses less digits than its factorization.

52056144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1265 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 52056144 is about 7214.9943866922. The cubic root of 52056144 is about 373.3853994844.

The spelling of 52056144 in words is "fifty-two million, fifty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 43 48 56 63 72 84 86 112 126 129 144 168 172 252 258 301 336 344 387 504 516 602 688 774 903 1008 1032 1201 1204 1548 1806 2064 2402 2408 2709 3096 3603 3612 4804 4816 5418 6192 7206 7224 8407 9608 10809 10836 14412 14448 16814 19216 21618 21672 25221 28824 33628 43236 43344 50442 51643 57648 67256 75663 86472 100884 103286 134512 151326 154929 172944 201768 206572 302652 309858 361501 403536 413144 464787 605304 619716 723002 826288 929574 1084503 1210608 1239432 1446004 1859148 2169006 2478864 2892008 3253509 3718296 4338012 5784016 6507018 7436592 8676024 13014036 17352048 26028072 52056144