Search a number
-
+
56523012 = 223713191271
BaseRepresentation
bin1101011110011…
…1100100000100
310221100122222220
43113213210010
5103432214022
65335252340
71254303060
oct327474404
9127318886
1056523012
11299a6637
1216b1a0b0
13b930490
147714aa0
154e6785c
hex35e7904

56523012 has 96 divisors (see below), whose sum is σ = 163774464. Its totient is φ = 14774400.

The previous prime is 56523007. The next prime is 56523017. The reversal of 56523012 is 21032565.

56523012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (56523007) and next prime (56523017).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (56523017) 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 31 ways as a sum of consecutive naturals, for example, 208437 + ... + 208707.

It is an arithmetic number, because the mean of its divisors is an integer number (1705984).

Almost surely, 256523012 is an apocalyptic number.

56523012 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 56523012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81887232).

56523012 is an abundant number, since it is smaller than the sum of its proper divisors (107251452).

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

56523012 is a wasteful number, since it uses less digits than its factorization.

56523012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 56523012 is about 7518.1787688243. The cubic root of 56523012 is about 383.7736024415.

Adding to 56523012 its reverse (21032565), we get a palindrome (77555577).

The spelling of 56523012 in words is "fifty-six million, five hundred twenty-three thousand, twelve".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 191 271 273 364 382 542 546 573 764 813 1084 1092 1146 1337 1626 1897 2292 2483 2674 3252 3523 3794 4011 4966 5348 5691 7046 7449 7588 8022 9932 10569 11382 14092 14898 16044 17381 21138 22764 24661 29796 34762 42276 49322 51761 52143 69524 73983 98644 103522 104286 147966 155283 207044 208572 295932 310566 362327 621132 672893 724654 1086981 1345786 1449308 2018679 2173962 2691572 4037358 4347924 4710251 8074716 9420502 14130753 18841004 28261506 56523012