Search a number
-
+
53733792 = 2537211423
BaseRepresentation
bin1100110011111…
…0100110100000
310202002221220110
43030332212200
5102223440132
65155411320
71221505200
oct314764640
9122087813
1053733792
1128370aa2
1215bb3b40
13b194a58
1471ca400
154ab61cc
hex333e9a0

53733792 has 72 divisors (see below), whose sum is σ = 164094336. Its totient is φ = 15351168.

The previous prime is 53733769. The next prime is 53733809. The reversal of 53733792 is 29733735.

53733792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 53733792.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 1008 + ... + 10415.

It is an arithmetic number, because the mean of its divisors is an integer number (2279088).

Almost surely, 253733792 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 53733792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82047168).

53733792 is an abundant number, since it is smaller than the sum of its proper divisors (110360544).

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

53733792 is a wasteful number, since it uses less digits than its factorization.

53733792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11450 (or 11435 counting only the distinct ones).

The product of its digits is 119070, while the sum is 39.

The square root of 53733792 is about 7330.3336895397. Note that the first 3 decimals coincide. The cubic root of 53733792 is about 377.3541784347.

The spelling of 53733792 in words is "fifty-three million, seven hundred thirty-three thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 11423 22846 34269 45692 68538 79961 91384 137076 159922 182768 239883 274152 319844 365536 479766 548304 559727 639688 959532 1096608 1119454 1279376 1679181 1919064 2238908 2558752 3358362 3838128 4477816 6716724 7676256 8955632 13433448 17911264 26866896 53733792