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56378616 = 23372191251
BaseRepresentation
bin1101011100010…
…0010011111000
310221002022220220
43113010103320
5103413103431
65332220040
71253132100
oct327042370
9127068826
1056378616
11299080a8
1216a6a620
13b8ac838
1476b8200
154e39b96
hex35c44f8

56378616 has 96 divisors (see below), whose sum is σ = 165473280. Its totient is φ = 15960000.

The previous prime is 56378573. The next prime is 56378617. The reversal of 56378616 is 61687365.

56378616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56378617) 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, 224491 + ... + 224741.

It is an arithmetic number, because the mean of its divisors is an integer number (1723680).

Almost surely, 256378616 is an apocalyptic number.

56378616 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 56378616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82736640).

56378616 is an abundant number, since it is smaller than the sum of its proper divisors (109094664).

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

56378616 is a wasteful number, since it uses less digits than its factorization.

56378616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465 (or 454 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The square root of 56378616 is about 7508.5695042398. The cubic root of 56378616 is about 383.4465225083.

The spelling of 56378616 in words is "fifty-six million, three hundred seventy-eight thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 191 196 251 294 382 392 502 573 588 753 764 1004 1146 1176 1337 1506 1528 1757 2008 2292 2674 3012 3514 4011 4584 5271 5348 6024 7028 8022 9359 10542 10696 12299 14056 16044 18718 21084 24598 28077 32088 36897 37436 42168 47941 49196 56154 73794 74872 95882 98392 112308 143823 147588 191764 224616 287646 295176 335587 383528 575292 671174 1006761 1150584 1342348 2013522 2349109 2684696 4027044 4698218 7047327 8054088 9396436 14094654 18792872 28189308 56378616