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55949238 = 23353113173
BaseRepresentation
bin1101010101101…
…1011110110110
310220021111221000
43111123132312
5103310333423
65315104130
71246363212
oct325333666
9126244830
1055949238
1129644544
12168a2046
13b78c277
147605942
154da2843
hex355b7b6

55949238 has 64 divisors (see below), whose sum is σ = 128537280. Its totient is φ = 18031104.

The previous prime is 55949213. The next prime is 55949249. The reversal of 55949238 is 83294955.

55949238 is a `hidden beast` number, since 559 + 4 + 92 + 3 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 55949193 and 55949202.

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 31 ways as a sum of consecutive naturals, for example, 323320 + ... + 323492.

It is an arithmetic number, because the mean of its divisors is an integer number (2008395).

Almost surely, 255949238 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55949238, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64268640).

55949238 is an abundant number, since it is smaller than the sum of its proper divisors (72588042).

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

55949238 is a wasteful number, since it uses less digits than its factorization.

55949238 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350 (or 344 counting only the distinct ones).

The product of its digits is 388800, while the sum is 45.

The square root of 55949238 is about 7479.9223257999. The cubic root of 55949238 is about 382.4706013545.

The spelling of 55949238 in words is "fifty-five million, nine hundred forty-nine thousand, two hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 53 54 106 113 159 173 226 318 339 346 477 519 678 954 1017 1038 1431 1557 2034 2862 3051 3114 4671 5989 6102 9169 9342 11978 17967 18338 19549 27507 35934 39098 53901 55014 58647 82521 107802 117294 161703 165042 175941 247563 323406 351882 495126 527823 1036097 1055646 2072194 3108291 6216582 9324873 18649746 27974619 55949238