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56455464 = 23313231449
BaseRepresentation
bin1101011101011…
…1000100101000
310221020020100010
43113113010220
5103423033324
65334011520
71253602122
oct327270450
9127206303
1056455464
112995a90a
1216aa6ba0
13b908800
1476d8212
154e52829
hex35d7128

56455464 has 96 divisors (see below), whose sum is σ = 158112000. Its totient is φ = 16773120.

The previous prime is 56455463. The next prime is 56455513. The reversal of 56455464 is 46455465.

56455464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (56455463) 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, 125512 + ... + 125960.

It is an arithmetic number, because the mean of its divisors is an integer number (1647000).

Almost surely, 256455464 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 56455464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79056000).

56455464 is an abundant number, since it is smaller than the sum of its proper divisors (101656536).

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

56455464 is a wasteful number, since it uses less digits than its factorization.

56455464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 498 counting only the distinct ones).

The product of its digits is 288000, while the sum is 39.

The square root of 56455464 is about 7513.6851145094. The cubic root of 56455464 is about 383.6206648930.

Subtracting from 56455464 its reverse (46455465), we obtain a palindrome (9999999).

The spelling of 56455464 in words is "fifty-six million, four hundred fifty-five thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 31 39 52 62 78 93 104 124 156 169 186 248 312 338 372 403 449 507 676 744 806 898 1014 1209 1347 1352 1612 1796 2028 2418 2694 3224 3592 4056 4836 5239 5388 5837 9672 10478 10776 11674 13919 15717 17511 20956 23348 27838 31434 35022 41757 41912 46696 55676 62868 70044 75881 83514 111352 125736 140088 151762 167028 180947 227643 303524 334056 361894 455286 542841 607048 723788 910572 1085682 1447576 1821144 2171364 2352311 4342728 4704622 7056933 9409244 14113866 18818488 28227732 56455464