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56776500 = 223253113137
BaseRepresentation
bin1101100010010…
…1011100110100
310221211112201100
43120211130310
5104013322000
65344530100
71256410104
oct330453464
9127745640
1056776500
112a05a030
1217020930
13b9bb981
14777d204
154eb7a00
hex3625734

56776500 has 288 divisors, whose sum is σ = 207148032. Its totient is φ = 12960000.

The previous prime is 56776457. The next prime is 56776501. The reversal of 56776500 is 567765.

56776500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (56776501) 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 95 ways as a sum of consecutive naturals, for example, 1534482 + ... + 1534518.

It is an arithmetic number, because the mean of its divisors is an integer number (719264).

Almost surely, 256776500 is an apocalyptic number.

56776500 is a gapful number since it is divisible by the number (50) 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 56776500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103574016).

56776500 is an abundant number, since it is smaller than the sum of its proper divisors (150371532).

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

56776500 is a wasteful number, since it uses less digits than its factorization.

56776500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 44100, while the sum is 36.

The square root of 56776500 is about 7535.0182481531. The cubic root of 56776500 is about 384.3464484047.

Multiplying 56776500 by its reverse (567765), we get a square (32235709522500 = 56776502).

56776500 divided by its reverse (567765) gives a square (100 = 102).

The spelling of 56776500 in words is "fifty-six million, seven hundred seventy-six thousand, five hundred".