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56341376 = 277213691
BaseRepresentation
bin1101011011101…
…1001110000000
310221000102211122
43112323032000
5103410411001
65331331412
71252615400
oct326731600
9127012748
1056341376
1129892123
1216a50b68
13b8988c0
1476a8800
154e2db1b
hex35bb380

56341376 has 96 divisors (see below), whose sum is σ = 140815080. Its totient is φ = 22256640.

The previous prime is 56341357. The next prime is 56341379. The reversal of 56341376 is 67314365.

56341376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56341379) 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 11 ways as a sum of consecutive naturals, for example, 81191 + ... + 81881.

Almost surely, 256341376 is an apocalyptic number.

56341376 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 56341376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70407540).

56341376 is an abundant number, since it is smaller than the sum of its proper divisors (84473704).

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

56341376 is a wasteful number, since it uses less digits than its factorization.

56341376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 713 counting only the distinct ones).

The product of its digits is 45360, while the sum is 35.

The square root of 56341376 is about 7506.0892613930. The cubic root of 56341376 is about 383.3620774077.

The spelling of 56341376 in words is "fifty-six million, three hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 49 52 56 64 91 98 104 112 128 182 196 208 224 364 392 416 448 637 691 728 784 832 896 1274 1382 1456 1568 1664 2548 2764 2912 3136 4837 5096 5528 5824 6272 8983 9674 10192 11056 11648 17966 19348 20384 22112 33859 35932 38696 40768 44224 62881 67718 71864 77392 81536 88448 125762 135436 143728 154784 251524 270872 287456 309568 440167 503048 541744 574912 619136 880334 1006096 1083488 1149824 1760668 2012192 2166976 3521336 4024384 4333952 7042672 8048768 14085344 28170688 56341376