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56149664 = 254142797
BaseRepresentation
bin1101011000110…
…0011010100000
310220122200212012
43112030122200
5103333242124
65323252052
71251156434
oct326143240
9126580765
1056149664
112977108a
121697a028
13b82c56c
1476589c4
154de1e0e
hex358c6a0

56149664 has 24 divisors (see below), whose sum is σ = 113243508. Its totient is φ = 27389440.

The previous prime is 56149663. The next prime is 56149669. The reversal of 56149664 is 46694165.

It can be written as a sum of positive squares in 2 ways, for example, as 56130064 + 19600 = 7492^2 + 140^2 .

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (56149663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20087 + ... + 22710.

Almost surely, 256149664 is an apocalyptic number.

It is an amenable number.

56149664 is an abundant number, since it is smaller than the sum of its proper divisors (57093844).

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

56149664 is a wasteful number, since it uses less digits than its factorization.

56149664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42848 (or 42840 counting only the distinct ones).

The product of its digits is 155520, while the sum is 41.

The square root of 56149664 is about 7493.3079477625. The cubic root of 56149664 is about 382.9267630555.

The spelling of 56149664 in words is "fifty-six million, one hundred forty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 42797 85594 171188 342376 684752 1369504 1754677 3509354 7018708 14037416 28074832 56149664