Search a number
-
+
55676352 = 263409709
BaseRepresentation
bin1101010001100…
…0110111000000
310212202122121010
43110120313000
5103223120402
65305200520
71244145504
oct324306700
9125678533
1055676352
1129478516
1216790140
13b6c4cb4
147574304
154d4ba6c
hex3518dc0

55676352 has 56 divisors (see below), whose sum is σ = 147878800. Its totient is φ = 18487296.

The previous prime is 55676329. The next prime is 55676371. The reversal of 55676352 is 25367655.

It is a self number, because there is not a number n which added to its sum of digits gives 55676352.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 78174 + ... + 78882.

Almost surely, 255676352 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 55676352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73939400).

55676352 is an abundant number, since it is smaller than the sum of its proper divisors (92202448).

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

55676352 is a wasteful number, since it uses less digits than its factorization.

55676352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1123 counting only the distinct ones).

The product of its digits is 189000, while the sum is 39.

The square root of 55676352 is about 7461.6587968092. The cubic root of 55676352 is about 381.8477688060.

The spelling of 55676352 in words is "fifty-five million, six hundred seventy-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 409 709 818 1227 1418 1636 2127 2454 2836 3272 4254 4908 5672 6544 8508 9816 11344 13088 17016 19632 22688 26176 34032 39264 45376 68064 78528 136128 289981 579962 869943 1159924 1739886 2319848 3479772 4639696 6959544 9279392 13919088 18558784 27838176 55676352