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55248660 = 223251911607
BaseRepresentation
bin1101001011000…
…0011100010100
310211221220220200
43102300130110
5103120424120
65252100500
71240414545
oct322603424
9124856820
1055248660
1129206155
1216604730
13b5a541c
1474a24cc
154cb4e90
hex34b0714

55248660 has 72 divisors (see below), whose sum is σ = 168569856. Its totient is φ = 14646720.

The previous prime is 55248653. The next prime is 55248667. The reversal of 55248660 is 6684255.

55248660 is a `hidden beast` number, since 552 + 48 + 6 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (55248653) and next prime (55248667).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55248667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33577 + ... + 35183.

It is an arithmetic number, because the mean of its divisors is an integer number (2341248).

Almost surely, 255248660 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 55248660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84284928).

55248660 is an abundant number, since it is smaller than the sum of its proper divisors (113321196).

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

55248660 is a wasteful number, since it uses less digits than its factorization.

55248660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1813 (or 1808 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 55248660 is about 7432.9442349583. The cubic root of 55248660 is about 380.8675009951.

The spelling of 55248660 in words is "fifty-five million, two hundred forty-eight thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 382 573 764 955 1146 1607 1719 1910 2292 2865 3214 3438 3820 4821 5730 6428 6876 8035 8595 9642 11460 14463 16070 17190 19284 24105 28926 32140 34380 48210 57852 72315 96420 144630 289260 306937 613874 920811 1227748 1534685 1841622 2762433 3069370 3683244 4604055 5524866 6138740 9208110 11049732 13812165 18416220 27624330 55248660