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56377880 = 23513181599
BaseRepresentation
bin1101011100010…
…0001000011000
310221002021220122
43113010020120
5103413043010
65332212412
71253126666
oct327041030
9127067818
1056377880
1129907599
1216a6a108
13b8ac3c0
1476b7c36
154e39855
hex35c4218

56377880 has 64 divisors (see below), whose sum is σ = 137592000. Its totient is φ = 20666880.

The previous prime is 56377877. The next prime is 56377889. The reversal of 56377880 is 8877365.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56377889) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93821 + ... + 94419.

It is an arithmetic number, because the mean of its divisors is an integer number (2149875).

Almost surely, 256377880 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56377880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68796000).

56377880 is an abundant number, since it is smaller than the sum of its proper divisors (81214120).

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

56377880 is a wasteful number, since it uses less digits than its factorization.

56377880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The square root of 56377880 is about 7508.5204934128. The cubic root of 56377880 is about 383.4448539213. Note that the first 3 decimals are identical.

The spelling of 56377880 in words is "fifty-six million, three hundred seventy-seven thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 181 260 362 520 599 724 905 1198 1448 1810 2353 2396 2995 3620 4706 4792 5990 7240 7787 9412 11765 11980 15574 18824 23530 23960 31148 38935 47060 62296 77870 94120 108419 155740 216838 311480 433676 542095 867352 1084190 1409447 2168380 2818894 4336760 5637788 7047235 11275576 14094470 28188940 56377880