Search a number
-
+
56178036 = 2234414229
BaseRepresentation
bin1101011001001…
…1010101110100
310220201010210000
43112103111310
5103340144121
65324031300
71251335235
oct326232564
9126633700
1056178036
1129790432
1216992530
13b83c455
14766508c
154dea526
hex3593574

56178036 has 60 divisors (see below), whose sum is σ = 150478020. Its totient is φ = 18264960.

The previous prime is 56177999. The next prime is 56178037. The reversal of 56178036 is 63087165.

56178036 is a `hidden beast` number, since 5 + 617 + 8 + 0 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32558436 + 23619600 = 5706^2 + 4860^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56178037) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11170 + ... + 15398.

It is an arithmetic number, because the mean of its divisors is an integer number (2507967).

Almost surely, 256178036 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 56178036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75239010).

56178036 is an abundant number, since it is smaller than the sum of its proper divisors (94299984).

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

56178036 is a wasteful number, since it uses less digits than its factorization.

56178036 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4286 (or 4275 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 56178036 is about 7495.2008645533. The cubic root of 56178036 is about 382.9912488598.

The spelling of 56178036 in words is "fifty-six million, one hundred seventy-eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 369 492 738 1107 1476 2214 3321 4229 4428 6642 8458 12687 13284 16916 25374 38061 50748 76122 114183 152244 173389 228366 342549 346778 456732 520167 685098 693556 1040334 1370196 1560501 2080668 3121002 4681503 6242004 9363006 14044509 18726012 28089018 56178036