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56092032 = 2732232973
BaseRepresentation
bin1101010111111…
…0010110000000
310220112202210200
43111332112000
5103324421112
65322125200
71250526423
oct325762600
9126482720
1056092032
1129731857
1216950800
13b80c269
1476419ba
154dcecdc
hex357e580

56092032 has 192 divisors, whose sum is σ = 176623200. Its totient is φ = 17031168.

The previous prime is 56092031. The next prime is 56092033. The reversal of 56092032 is 23029065.

56092032 is a `hidden beast` number, since 5 + 609 + 20 + 32 = 666.

56092032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56092031) and next prime (56092033).

It is a tau number, because it is divible by the number of its divisors (192).

It is a junction number, because it is equal to n+sod(n) for n = 56091987 and 56092005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56092031) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 768348 + ... + 768420.

Almost surely, 256092032 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 56092032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88311600).

56092032 is an abundant number, since it is smaller than the sum of its proper divisors (120531168).

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

56092032 is a wasteful number, since it uses less digits than its factorization.

56092032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 56092032 is about 7489.4613958548. The cubic root of 56092032 is about 382.7957062309.

The spelling of 56092032 in words is "fifty-six million, ninety-two thousand, thirty-two".