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52077792 = 2531341729
BaseRepresentation
bin1100011010101…
…0010011100000
310121222211022010
43012222103200
5101312442132
65100112520
71201440204
oct306522340
9117884263
1052077792
112743a8a8
1215535740
13aa35080
146cb8b04
15488a6cc
hex31aa4e0

52077792 has 48 divisors (see below), whose sum is σ = 147223440. Its totient is φ = 16023552.

The previous prime is 52077791. The next prime is 52077821. The reversal of 52077792 is 29777025.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 52077792.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52077791) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 19617 + ... + 22112.

It is an arithmetic number, because the mean of its divisors is an integer number (3067155).

Almost surely, 252077792 is an apocalyptic number.

52077792 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

52077792 is an abundant number, since it is smaller than the sum of its proper divisors (95145648).

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

52077792 is a wasteful number, since it uses less digits than its factorization.

52077792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41755 (or 41747 counting only the distinct ones).

The product of its (nonzero) digits is 61740, while the sum is 39.

The square root of 52077792 is about 7216.4944398233. The cubic root of 52077792 is about 373.4371508327.

The spelling of 52077792 in words is "fifty-two million, seventy-seven thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 41729 83458 125187 166916 250374 333832 500748 542477 667664 1001496 1084954 1335328 1627431 2002992 2169908 3254862 4005984 4339816 6509724 8679632 13019448 17359264 26038896 52077792