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55089684 = 223213532221
BaseRepresentation
bin1101001000100…
…1101000010100
310211122211211200
43102021220110
5103100332214
65244432500
71236153216
oct322115024
9124584750
1055089684
1129107771
1216548730
13b54ac60
1474605b6
154c82d09
hex3489a14

55089684 has 72 divisors (see below), whose sum is σ = 152864712. Its totient is φ = 16623360.

The previous prime is 55089677. The next prime is 55089689. The reversal of 55089684 is 48698055.

55089684 is a `hidden beast` number, since 550 + 8 + 96 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 8468100 + 46621584 = 2910^2 + 6828^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55089689) 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, 23694 + ... + 25914.

It is an arithmetic number, because the mean of its divisors is an integer number (2123121).

Almost surely, 255089684 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 55089684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76432356).

55089684 is an abundant number, since it is smaller than the sum of its proper divisors (97775028).

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

55089684 is a wasteful number, since it uses less digits than its factorization.

55089684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2297 (or 2292 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The square root of 55089684 is about 7422.2425182690. The cubic root of 55089684 is about 380.5018392728.

The spelling of 55089684 in words is "fifty-five million, eighty-nine thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 53 78 106 117 156 159 212 234 318 468 477 636 689 954 1378 1908 2067 2221 2756 4134 4442 6201 6663 8268 8884 12402 13326 19989 24804 26652 28873 39978 57746 79956 86619 115492 117713 173238 235426 259857 346476 353139 470852 519714 706278 1039428 1059417 1412556 1530269 2118834 3060538 4237668 4590807 6121076 9181614 13772421 18363228 27544842 55089684