Search a number
-
+
56976192 = 26327131087
BaseRepresentation
bin1101100101011…
…0001101000000
310222012200122100
43121112031000
5104041214232
65353110400
71261201230
oct331261500
9128180570
1056976192
112a186069
12170b8400
13ba5b830
1477d1cc0
155006c7c
hex3656340

56976192 has 168 divisors, whose sum is σ = 201184256. Its totient is φ = 15012864.

The previous prime is 56976191. The next prime is 56976203. The reversal of 56976192 is 29167965.

It is a happy number.

56976192 is a `hidden beast` number, since 569 + 76 + 19 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56976191) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 51873 + ... + 52959.

Almost surely, 256976192 is an apocalyptic number.

56976192 is a gapful number since it is divisible by the number (52) 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 56976192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100592128).

56976192 is an abundant number, since it is smaller than the sum of its proper divisors (144208064).

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

56976192 is a wasteful number, since it uses less digits than its factorization.

56976192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1125 (or 1112 counting only the distinct ones).

The product of its digits is 204120, while the sum is 45.

The square root of 56976192 is about 7548.2575472754. The cubic root of 56976192 is about 384.7965237273.

The spelling of 56976192 in words is "fifty-six million, nine hundred seventy-six thousand, one hundred ninety-two".