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56344662 = 23211383743
BaseRepresentation
bin1101011011110…
…0000001010110
310221000121100100
43112330001112
5103411012122
65331354530
71252631103
oct326740126
9127017310
1056344662
1129894640
1216a52a46
13b89a24a
1476a9aaa
154e2eaac
hex35bc056

56344662 has 48 divisors (see below), whose sum is σ = 133705728. Its totient is φ = 17006640.

The previous prime is 56344657. The next prime is 56344667. The reversal of 56344662 is 26644365.

56344662 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 (56344657) and next prime (56344667).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56344667) 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, 75463 + ... + 76205.

It is an arithmetic number, because the mean of its divisors is an integer number (2785536).

Almost surely, 256344662 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56344662, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66852864).

56344662 is an abundant number, since it is smaller than the sum of its proper divisors (77361066).

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

56344662 is a wasteful number, since it uses less digits than its factorization.

56344662 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1145 (or 1142 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 56344662 is about 7506.3081471520. The cubic root of 56344662 is about 383.3695302093.

It can be divided in two parts, 5634 and 4662, that added together give a triangular number (10296 = T143).

The spelling of 56344662 in words is "fifty-six million, three hundred forty-four thousand, six hundred sixty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 383 743 766 1149 1486 2229 2298 3447 4213 4458 6687 6894 8173 8426 12639 13374 16346 24519 25278 37917 49038 73557 75834 147114 284569 569138 853707 1707414 2561121 3130259 5122242 6260518 9390777 18781554 28172331 56344662