Search a number
-
+
53365632 = 273314483
BaseRepresentation
bin1100101110010…
…0101110000000
310201102020212220
43023210232000
5102130200012
65143451040
71215412635
oct313445600
9121366786
1053365632
112813a431
1215a56a80
13b0962c8
14713218c
154a4208c
hex32e4b80

53365632 has 64 divisors (see below), whose sum is σ = 146357760. Its totient is φ = 17210880.

The previous prime is 53365607. The next prime is 53365643. The reversal of 53365632 is 23656335.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 53365593 and 53365602.

It is a congruent number.

It is an unprimeable number.

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, 9663 + ... + 14145.

It is an arithmetic number, because the mean of its divisors is an integer number (2286840).

Almost surely, 253365632 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 53365632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73178880).

53365632 is an abundant number, since it is smaller than the sum of its proper divisors (92992128).

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

53365632 is a wasteful number, since it uses less digits than its factorization.

53365632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4531 (or 4519 counting only the distinct ones).

The product of its digits is 48600, while the sum is 33.

The square root of 53365632 is about 7305.1784372457. The cubic root of 53365632 is about 376.4903817412.

The spelling of 53365632 in words is "fifty-three million, three hundred sixty-five thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 992 1488 1984 2976 3968 4483 5952 8966 11904 13449 17932 26898 35864 53796 71728 107592 138973 143456 215184 277946 286912 416919 430368 555892 573824 833838 860736 1111784 1667676 1721472 2223568 3335352 4447136 6670704 8894272 13341408 17788544 26682816 53365632