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56228544 = 2632314767
BaseRepresentation
bin1101011001111…
…1101011000000
310220210201001200
43112133223000
5103343303134
65325101200
71251635421
oct326375300
9126721050
1056228544
1129815379
12169b7800
13b859438
147679648
154e0a499
hex359fac0

56228544 has 168 divisors, whose sum is σ = 172443648. Its totient is φ = 17487360.

The previous prime is 56228539. The next prime is 56228551. The reversal of 56228544 is 44582265.

It is a happy number.

It is a super-3 number, since 3×562285443 (a number of 24 digits) contains 333 as substring.

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

Its product of digits (76800) is a multiple of the sum of its prime divisors (150).

It is a junction number, because it is equal to n+sod(n) for n = 56228499 and 56228508.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 839199 + ... + 839265.

Almost surely, 256228544 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 56228544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86221824).

56228544 is an abundant number, since it is smaller than the sum of its proper divisors (116215104).

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

56228544 is a wasteful number, since it uses less digits than its factorization.

56228544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 150 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 56228544 is about 7498.5694635710. The cubic root of 56228544 is about 383.1059931563.

The spelling of 56228544 in words is "fifty-six million, two hundred twenty-eight thousand, five hundred forty-four".