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55458568 = 23111941809
BaseRepresentation
bin1101001110001…
…1101100001000
310212100120212001
43103203230020
5103144133233
65300400344
71242250534
oct323435410
9125316761
1055458568
1129339930
12166a60b4
13b649b29
147518bc4
154d0727d
hex34e3b08

55458568 has 64 divisors (see below), whose sum is σ = 122472000. Its totient is φ = 23270400.

The previous prime is 55458551. The next prime is 55458619. The reversal of 55458568 is 86585455.

It is a happy number.

It is a super-2 number, since 2×554585682 = 6151305529221248, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68148 + ... + 68956.

It is an arithmetic number, because the mean of its divisors is an integer number (1913625).

Almost surely, 255458568 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 55458568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61236000).

55458568 is an abundant number, since it is smaller than the sum of its proper divisors (67013432).

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

55458568 is a wasteful number, since it uses less digits than its factorization.

55458568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 882 counting only the distinct ones).

The product of its digits is 960000, while the sum is 46.

The square root of 55458568 is about 7447.0509599438. The cubic root of 55458568 is about 381.3492387724.

The spelling of 55458568 in words is "fifty-five million, four hundred fifty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 19 22 38 41 44 76 82 88 152 164 209 328 418 451 779 809 836 902 1558 1618 1672 1804 3116 3236 3608 6232 6472 8569 8899 15371 17138 17798 30742 33169 34276 35596 61484 66338 68552 71192 122968 132676 169081 265352 338162 364859 630211 676324 729718 1260422 1352648 1459436 2520844 2918872 5041688 6932321 13864642 27729284 55458568