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56089332 = 223213119849
BaseRepresentation
bin1101010111110…
…1101011110100
310220112122002200
43111331223310
5103324324312
65322104500
71250515515
oct325755364
9126478080
1056089332
112972a822
121694b130
13b80ac70
147640a0c
154dce0dc
hex357daf4

56089332 has 36 divisors (see below), whose sum is σ = 152688900. Its totient is φ = 17258112.

The previous prime is 56089321. The next prime is 56089333. The reversal of 56089332 is 23398065.

56089332 is a `hidden beast` number, since 560 + 8 + 93 + 3 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13003236 + 43086096 = 3606^2 + 6564^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×560893323 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56089333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59457 + ... + 60392.

Almost surely, 256089332 is an apocalyptic number.

56089332 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

56089332 is an abundant number, since it is smaller than the sum of its proper divisors (96599568).

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

56089332 is a wasteful number, since it uses less digits than its factorization.

56089332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119872 (or 119867 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 56089332 is about 7489.2811404033. The cubic root of 56089332 is about 382.7895641524.

The spelling of 56089332 in words is "fifty-six million, eighty-nine thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 119849 239698 359547 479396 719094 1078641 1438188 1558037 2157282 3116074 4314564 4674111 6232148 9348222 14022333 18696444 28044666 56089332