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56434728 = 23372831187
BaseRepresentation
bin1101011101001…
…0000000101000
310221012011220010
43113102000220
5103421402403
65333331520
71253454510
oct327220050
9127164803
1056434728
1129946279
1216a96ba0
13b8cc23c
1476d0840
154e4b603
hex35d2028

56434728 has 64 divisors (see below), whose sum is σ = 161948160. Its totient is φ = 16053696.

The previous prime is 56434727. The next prime is 56434751. The reversal of 56434728 is 82743465.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (56434723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46951 + ... + 48137.

It is an arithmetic number, because the mean of its divisors is an integer number (2530440).

Almost surely, 256434728 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 56434728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80974080).

56434728 is an abundant number, since it is smaller than the sum of its proper divisors (105513432).

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

56434728 is a wasteful number, since it uses less digits than its factorization.

56434728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486 (or 1482 counting only the distinct ones).

The product of its digits is 161280, while the sum is 39.

The square root of 56434728 is about 7512.3051056250. The cubic root of 56434728 is about 383.5736913929.

The spelling of 56434728 in words is "fifty-six million, four hundred thirty-four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 283 566 849 1132 1187 1698 1981 2264 2374 3396 3561 3962 4748 5943 6792 7122 7924 8309 9496 11886 14244 15848 16618 23772 24927 28488 33236 47544 49854 66472 99708 199416 335921 671842 1007763 1343684 2015526 2351447 2687368 4031052 4702894 7054341 8062104 9405788 14108682 18811576 28217364 56434728