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56018448 = 2432733
BaseRepresentation
bin1101010110110…
…0011000010000
310220102000212100
43111230120100
5103320042243
65320400400
71250102043
oct325543020
9126360770
1056018448
1129691542
1216916100
13b7b4915
147622c5a
154db80d3
hex356c610

56018448 has 60 divisors (see below), whose sum is σ = 158951260. Its totient is φ = 18417024.

The previous prime is 56018447. The next prime is 56018449. The reversal of 56018448 is 84481065.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

56018448 is a `hidden beast` number, since 5 + 601 + 8 + 4 + 48 = 666.

It is an interprime number because it is at equal distance from previous prime (56018447) and next prime (56018449).

It can be written as a sum of positive squares in 2 ways, for example, as 12616704 + 43401744 = 3552^2 + 6588^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (56018447) 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 11 ways as a sum of consecutive naturals, for example, 767340 + ... + 767412.

Almost surely, 256018448 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 56018448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79475630).

56018448 is an abundant number, since it is smaller than the sum of its proper divisors (102932812).

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

56018448 is an frugal number, since it uses more digits than its factorization.

56018448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 56018448 is about 7484.5472808982. The cubic root of 56018448 is about 382.6282435545.

The spelling of 56018448 in words is "fifty-six million, eighteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1314 1752 2628 3504 5256 5329 10512 10658 15987 21316 31974 42632 47961 63948 85264 95922 127896 191844 255792 383688 389017 767376 778034 1167051 1556068 2334102 3112136 3501153 4668204 6224272 7002306 9336408 14004612 18672816 28009224 56018448