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56623112 = 23713231193
BaseRepresentation
bin1101100000000…
…0000000001000
310221112202022022
43120000000020
5103443414422
65341344012
71255200650
oct330000010
9127482268
1056623112
1129a64867
1216b68008
13b966c00
14773d360
154e87342
hex3600008

56623112 has 96 divisors (see below), whose sum is σ = 136327680. Its totient is φ = 21565440.

The previous prime is 56623093. The next prime is 56623153. The reversal of 56623112 is 21132665.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293288 + ... + 293480.

It is an arithmetic number, because the mean of its divisors is an integer number (1420080).

Almost surely, 256623112 is an apocalyptic number.

56623112 is a gapful number since it is divisible by the number (52) 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 56623112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68163840).

56623112 is an abundant number, since it is smaller than the sum of its proper divisors (79704568).

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

56623112 is a wasteful number, since it uses less digits than its factorization.

56623112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 246 counting only the distinct ones).

The product of its digits is 2160, while the sum is 26.

The square root of 56623112 is about 7524.8330214032. The cubic root of 56623112 is about 384.0000180845. Note that the first 4 decimals are identical.

Adding to 56623112 its reverse (21132665), we get a palindrome (77755777).

The spelling of 56623112 in words is "fifty-six million, six hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 31 52 56 62 91 104 124 169 182 193 217 248 338 364 386 403 434 676 728 772 806 868 1183 1351 1352 1544 1612 1736 2366 2509 2702 2821 3224 4732 5018 5239 5404 5642 5983 9464 10036 10478 10808 11284 11966 17563 20072 20956 22568 23932 32617 35126 36673 41881 41912 47864 65234 70252 73346 77779 83762 130468 140504 146692 155558 167524 228319 260936 293384 311116 335048 456638 544453 622232 913276 1011127 1088906 1826552 2022254 2177812 4044508 4355624 7077889 8089016 14155778 28311556 56623112