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56534016 = 2103711239
BaseRepresentation
bin1101011110101…
…0010000000000
310221101020002110
43113222100000
5103433042031
65335415320
71254350130
oct327522000
9127336073
1056534016
1129a03930
1216b24540
13b9354a6
147718ac0
154e6ac46
hex35ea400

56534016 has 176 divisors, whose sum is σ = 188651520. Its totient is φ = 14622720.

The previous prime is 56534003. The next prime is 56534033. The reversal of 56534016 is 61043565.

It is a tau number, because it is divible by the number of its divisors (176).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236425 + ... + 236663.

Almost surely, 256534016 is an apocalyptic number.

56534016 is a gapful number since it is divisible by the number (56) 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 56534016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94325760).

56534016 is an abundant number, since it is smaller than the sum of its proper divisors (132117504).

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

56534016 is a wasteful number, since it uses less digits than its factorization.

56534016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 56534016 is about 7518.9105593829. The cubic root of 56534016 is about 383.7985054002.

It can be divided in two parts, 5653 and 4016, that added together give a palindrome (9669).

The spelling of 56534016 in words is "fifty-six million, five hundred thirty-four thousand, sixteen".