Search a number
-
+
53688656 = 2471373499
BaseRepresentation
bin1100110011001…
…1100101010000
310202000122222202
43030303211100
5102221014111
65154422332
71221226460
oct314634520
9122018882
1053688656
112834009a
1215b919a8
13b17a348
1471b7ba0
154aa7b3b
hex3333950

53688656 has 40 divisors (see below), whose sum is σ = 119784000. Its totient is φ = 22834944.

The previous prime is 53688619. The next prime is 53688659. The reversal of 53688656 is 65688635.

It is a self number, because there is not a number n which added to its sum of digits gives 53688656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53688659) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13595 + ... + 17093.

It is an arithmetic number, because the mean of its divisors is an integer number (2994600).

Almost surely, 253688656 is an apocalyptic number.

53688656 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53688656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59892000).

53688656 is an abundant number, since it is smaller than the sum of its proper divisors (66095344).

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

53688656 is a wasteful number, since it uses less digits than its factorization.

53688656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3651 (or 3645 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 47.

The square root of 53688656 is about 7327.2543288738. The cubic root of 53688656 is about 377.2484905688.

The spelling of 53688656 in words is "fifty-three million, six hundred eighty-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 137 274 548 959 1096 1918 2192 3499 3836 6998 7672 13996 15344 24493 27992 48986 55984 97972 195944 391888 479363 958726 1917452 3355541 3834904 6711082 7669808 13422164 26844328 53688656