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55658484 = 22327415387
BaseRepresentation
bin1101010001010…
…0011111110100
310212201202002100
43110110133310
5103222032414
65304542100
71244042430
oct324243764
9125652070
1055658484
1129466052
1216781930
13b6b9b1b
14756b9c0
154d46609
hex35147f4

55658484 has 72 divisors (see below), whose sum is σ = 164743488. Its totient is φ = 15511680.

The previous prime is 55658479. The next prime is 55658507. The reversal of 55658484 is 48485655.

55658484 is a `hidden beast` number, since 5 + 565 + 8 + 4 + 84 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7639 + ... + 13025.

It is an arithmetic number, because the mean of its divisors is an integer number (2288104).

Almost surely, 255658484 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 55658484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82371744).

55658484 is an abundant number, since it is smaller than the sum of its proper divisors (109085004).

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

55658484 is a wasteful number, since it uses less digits than its factorization.

55658484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5445 (or 5440 counting only the distinct ones).

The product of its digits is 768000, while the sum is 45.

The square root of 55658484 is about 7460.4613798344. The cubic root of 55658484 is about 381.8069161178.

The spelling of 55658484 in words is "fifty-five million, six hundred fifty-eight thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 41 42 63 82 84 123 126 164 246 252 287 369 492 574 738 861 1148 1476 1722 2583 3444 5166 5387 10332 10774 16161 21548 32322 37709 48483 64644 75418 96966 113127 150836 193932 220867 226254 339381 441734 452508 662601 678762 883468 1325202 1357524 1546069 1987803 2650404 3092138 3975606 4638207 6184276 7951212 9276414 13914621 18552828 27829242 55658484