Search a number
-
+
56132096 = 29176449
BaseRepresentation
bin1101011000100…
…0001000000000
310220121210202112
43112020020000
5103332211341
65323034452
71251054266
oct326101000
9126553675
1056132096
1129759969
121696ba28
13b824577
147652436
154ddbaeb
hex3588200

56132096 has 40 divisors (see below), whose sum is σ = 118770300. Its totient is φ = 26411008.

The previous prime is 56132047. The next prime is 56132123. The reversal of 56132096 is 69023165.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 45373696 + 10758400 = 6736^2 + 3280^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5480 + ... + 11928.

Almost surely, 256132096 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 56132096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59385150).

56132096 is an abundant number, since it is smaller than the sum of its proper divisors (62638204).

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

56132096 is an equidigital number, since it uses as much as digits as its factorization.

56132096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6484 (or 6468 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 56132096 is about 7492.1356100914. The cubic root of 56132096 is about 382.8868224241.

The spelling of 56132096 in words is "fifty-six million, one hundred thirty-two thousand, ninety-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 4352 6449 8704 12898 25796 51592 103184 109633 206368 219266 412736 438532 825472 877064 1650944 1754128 3301888 3508256 7016512 14033024 28066048 56132096