Search a number
-
+
56170296 = 23327138573
BaseRepresentation
bin1101011001000…
…1011100111000
310220200202011100
43112101130320
5103334422141
65323531400
71251303540
oct326213470
9126622140
1056170296
1129785636
1216989b60
13b838a80
147662320
154de80b6
hex3591738

56170296 has 96 divisors (see below), whose sum is σ = 187256160. Its totient is φ = 14812416.

The previous prime is 56170291. The next prime is 56170307. The reversal of 56170296 is 69207165.

56170296 is a `hidden beast` number, since 561 + 7 + 0 + 2 + 96 = 666.

56170296 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 a self number, because there is not a number n which added to its sum of digits gives 56170296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56170291) by changing a digit.

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, 2266 + ... + 10838.

It is an arithmetic number, because the mean of its divisors is an integer number (1950585).

Almost surely, 256170296 is an apocalyptic number.

56170296 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56170296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93628080).

56170296 is an abundant number, since it is smaller than the sum of its proper divisors (131085864).

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

56170296 is a wasteful number, since it uses less digits than its factorization.

56170296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8605 (or 8598 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 56170296 is about 7494.6845163756. The cubic root of 56170296 is about 382.9736590173.

The spelling of 56170296 in words is "fifty-six million, one hundred seventy thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 8573 17146 25719 34292 51438 60011 68584 77157 102876 111449 120022 154314 180033 205752 222898 240044 308628 334347 360066 445796 480088 540099 617256 668694 720132 780143 891592 1003041 1080198 1337388 1440264 1560286 2006082 2160396 2340429 2674776 3120572 4012164 4320792 4680858 6241144 7021287 8024328 9361716 14042574 18723432 28085148 56170296