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56712000 = 2635317139
BaseRepresentation
bin1101100001010…
…1101101000000
310221201021020110
43120111231000
5104004241000
65343311320
71256021052
oct330255500
9127637213
1056712000
112a015624
1216bab540
13b9984c7
1477638d2
154ea3850
hex3615b40

56712000 has 224 divisors, whose sum is σ = 199704960. Its totient is φ = 14131200.

The previous prime is 56711987. The next prime is 56712041. The reversal of 56712000 is 21765.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 407931 + ... + 408069.

It is an arithmetic number, because the mean of its divisors is an integer number (891540).

Almost surely, 256712000 is an apocalyptic number.

56712000 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 56712000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99852480).

56712000 is an abundant number, since it is smaller than the sum of its proper divisors (142992960).

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

56712000 is a wasteful number, since it uses less digits than its factorization.

56712000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 56712000 is about 7530.7370157243. The cubic root of 56712000 is about 384.2008497891.

Adding to 56712000 its reverse (21765), we get a palindrome (56733765).

The spelling of 56712000 in words is "fifty-six million, seven hundred twelve thousand".