Search a number
-
+
55690656 = 2537211839
BaseRepresentation
bin1101010001110…
…0010110100000
310212210101012220
43110130112200
5103224100111
65305351040
71244235300
oct324342640
9125711186
1055690656
112948823a
1216798480
13b6cb668
147579600
154d50e06
hex351c5a0

55690656 has 72 divisors (see below), whose sum is σ = 170069760. Its totient is φ = 15910272.

The previous prime is 55690619. The next prime is 55690673. The reversal of 55690656 is 65609655.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1216 + ... + 10623.

It is an arithmetic number, because the mean of its divisors is an integer number (2362080).

Almost surely, 255690656 is an apocalyptic number.

55690656 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 55690656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85034880).

55690656 is an abundant number, since it is smaller than the sum of its proper divisors (114379104).

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

55690656 is a wasteful number, since it uses less digits than its factorization.

55690656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11866 (or 11851 counting only the distinct ones).

The product of its (nonzero) digits is 243000, while the sum is 42.

The square root of 55690656 is about 7462.6172352600. The cubic root of 55690656 is about 381.8804666068.

The spelling of 55690656 in words is "fifty-five million, six hundred ninety thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 294 336 392 588 672 784 1176 1568 2352 4704 11839 23678 35517 47356 71034 82873 94712 142068 165746 189424 248619 284136 331492 378848 497238 568272 580111 662984 994476 1136544 1160222 1325968 1740333 1988952 2320444 2651936 3480666 3977904 4640888 6961332 7955808 9281776 13922664 18563552 27845328 55690656