Search a number
-
+
56174328 = 23327227491
BaseRepresentation
bin1101011001001…
…0011011111000
310220200221200200
43112102123320
5103340034303
65324002200
71251321360
oct326223370
9126627620
1056174328
1129788671
1216990360
13b83a862
1476639a0
154de93a3
hex35926f8

56174328 has 96 divisors (see below), whose sum is σ = 174994560. Its totient is φ = 15946560.

The previous prime is 56174299. The next prime is 56174333. The reversal of 56174328 is 82347165.

56174328 is a `hidden beast` number, since 5 + 617 + 4 + 32 + 8 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 56174292 and 56174301.

It is a congruent number.

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, 114163 + ... + 114653.

It is an arithmetic number, because the mean of its divisors is an integer number (1822860).

Almost surely, 256174328 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 56174328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87497280).

56174328 is an abundant number, since it is smaller than the sum of its proper divisors (118820232).

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

56174328 is a wasteful number, since it uses less digits than its factorization.

56174328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737 (or 730 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 56174328 is about 7494.9535021907. The cubic root of 56174328 is about 382.9828222997.

The spelling of 56174328 in words is "fifty-six million, one hundred seventy-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 227 252 454 491 504 681 908 982 1362 1473 1589 1816 1964 2043 2724 2946 3178 3437 3928 4086 4419 4767 5448 5892 6356 6874 8172 8838 9534 10311 11784 12712 13748 14301 16344 17676 19068 20622 27496 28602 30933 35352 38136 41244 57204 61866 82488 111457 114408 123732 222914 247464 334371 445828 668742 780199 891656 1003113 1337484 1560398 2006226 2340597 2674968 3120796 4012452 4681194 6241592 7021791 8024904 9362388 14043582 18724776 28087164 56174328