Search a number
-
+
56075652 = 2235311861
BaseRepresentation
bin1101010111101…
…0010110000100
310220111221100000
43111322112010
5103323410102
65321521300
71250430603
oct325722604
9126457300
1056075652
1129720516
1216943230
13b804979
147639a3a
154dca01c
hex357a584

56075652 has 72 divisors (see below), whose sum is σ = 151820032. Its totient is φ = 18079200.

The previous prime is 56075641. The next prime is 56075681. The reversal of 56075652 is 25657065.

56075652 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29202 + ... + 31062.

Almost surely, 256075652 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 56075652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75910016).

56075652 is an abundant number, since it is smaller than the sum of its proper divisors (95744380).

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

56075652 is a wasteful number, since it uses less digits than its factorization.

56075652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1911 (or 1897 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 56075652 is about 7488.3677794296. The cubic root of 56075652 is about 382.7584412583.

The spelling of 56075652 in words is "fifty-six million, seventy-five thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 81 93 108 124 162 186 243 279 324 372 486 558 837 972 1116 1674 1861 2511 3348 3722 5022 5583 7444 7533 10044 11166 15066 16749 22332 30132 33498 50247 57691 66996 100494 115382 150741 173073 200988 230764 301482 346146 452223 519219 602964 692292 904446 1038438 1557657 1808892 2076876 3115314 4672971 6230628 9345942 14018913 18691884 28037826 56075652