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55245816 = 23322373457
BaseRepresentation
bin1101001010111…
…1101111111000
310211221210000100
43102233233320
5103120331231
65252035400
71240403343
oct322575770
9124853010
1055245816
1129203aaa
1216602b60
13b5a4042
1474a145a
154cb41e6
hex34afbf8

55245816 has 96 divisors (see below), whose sum is σ = 158614560. Its totient is φ = 17335296.

The previous prime is 55245791. The next prime is 55245823. The reversal of 55245816 is 61854255.

55245816 is a `hidden beast` number, since 55 + 24 + 581 + 6 = 666.

55245816 is a nontrivial binomial coefficient, being equal to C(10512, 2).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120660 + ... + 121116.

It is an arithmetic number, because the mean of its divisors is an integer number (1652235).

Almost surely, 255245816 is an apocalyptic number.

55245816 is the 10511-st triangular number and also the 5256-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55245816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79307280).

55245816 is an abundant number, since it is smaller than the sum of its proper divisors (103368744).

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

55245816 is a wasteful number, since it uses less digits than its factorization.

55245816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 558 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 55245816 is about 7432.7529220337. The cubic root of 55245816 is about 380.8609656585.

The spelling of 55245816 in words is "fifty-five million, two hundred forty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 73 92 138 146 184 207 219 276 292 414 438 457 552 584 657 828 876 914 1314 1371 1656 1679 1752 1828 2628 2742 3358 3656 4113 5037 5256 5484 6716 8226 10074 10511 10968 13432 15111 16452 20148 21022 30222 31533 32904 33361 40296 42044 60444 63066 66722 84088 94599 100083 120888 126132 133444 189198 200166 252264 266888 300249 378396 400332 600498 756792 767303 800664 1200996 1534606 2301909 2401992 3069212 4603818 6138424 6905727 9207636 13811454 18415272 27622908 55245816