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55055052 = 2235134357
BaseRepresentation
bin1101001000000…
…1001011001100
310211121002100000
43102001023030
5103043230202
65244004300
71235650233
oct322011314
9124532300
1055055052
1129093748
1216530690
13b538270
147451b1a
154c7791c
hex34812cc

55055052 has 72 divisors (see below), whose sum is σ = 155458576. Its totient is φ = 16936128.

The previous prime is 55055051. The next prime is 55055071. The reversal of 55055052 is 25055055.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (55055051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10458 + ... + 14814.

Almost surely, 255055052 is an apocalyptic number.

55055052 is a gapful number since it is divisible by the number (52) 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 55055052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77729288).

55055052 is an abundant number, since it is smaller than the sum of its proper divisors (100403524).

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

55055052 is a wasteful number, since it uses less digits than its factorization.

55055052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4389 (or 4375 counting only the distinct ones).

The product of its (nonzero) digits is 6250, while the sum is 27.

The square root of 55055052 is about 7419.9091638645. The cubic root of 55055052 is about 380.4220886973.

The spelling of 55055052 in words is "fifty-five million, fifty-five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 972 1053 1404 2106 3159 4212 4357 6318 8714 12636 13071 17428 26142 39213 52284 56641 78426 113282 117639 156852 169923 226564 235278 339846 352917 470556 509769 679692 705834 1019538 1058751 1411668 1529307 2039076 2117502 3058614 4235004 4587921 6117228 9175842 13763763 18351684 27527526 55055052