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55608984 = 23331012549
BaseRepresentation
bin1101010000100…
…0011010011000
310212122020012000
43110020122120
5103213441414
65303521000
71243445214
oct324103230
9125566160
1055608984
1129431942
1216759160
13b6a0432
147557944
154d36b09
hex3508698

55608984 has 64 divisors (see below), whose sum is σ = 156060000. Its totient is φ = 18345600.

The previous prime is 55608967. The next prime is 55609027. The reversal of 55608984 is 48980655.

55608984 is a `hidden beast` number, since 5 + 560 + 8 + 9 + 84 = 666.

It is a congruent number.

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, 20542 + ... + 23090.

Almost surely, 255608984 is an apocalyptic number.

55608984 is a gapful number since it is divisible by the number (54) 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 55608984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78030000).

55608984 is an abundant number, since it is smaller than the sum of its proper divisors (100451016).

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

55608984 is a wasteful number, since it uses less digits than its factorization.

55608984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2665 (or 2655 counting only the distinct ones).

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

The square root of 55608984 is about 7457.1431527094. The cubic root of 55608984 is about 381.6936955956.

The spelling of 55608984 in words is "fifty-five million, six hundred eight thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 101 108 202 216 303 404 606 808 909 1212 1818 2424 2549 2727 3636 5098 5454 7272 7647 10196 10908 15294 20392 21816 22941 30588 45882 61176 68823 91764 137646 183528 257449 275292 514898 550584 772347 1029796 1544694 2059592 2317041 3089388 4634082 6178776 6951123 9268164 13902246 18536328 27804492 55608984