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55257876 = 2234295881
BaseRepresentation
bin1101001011001…
…0101100010100
310211222101120000
43102302230110
5103121223001
65252211300
71240453452
oct322625424
9124871500
1055257876
1129212073
1216609b30
13b5a968b
1474a59d2
154cb7a86
hex34b2b14

55257876 has 60 divisors (see below), whose sum is σ = 149461620. Its totient is φ = 17781120.

The previous prime is 55257869. The next prime is 55257889. The reversal of 55257876 is 67875255.

55257876 is a `hidden beast` number, since 5 + 5 + 2 + 578 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38118276 + 17139600 = 6174^2 + 4140^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 6456 + ... + 12336.

It is an arithmetic number, because the mean of its divisors is an integer number (2491027).

Almost surely, 255257876 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 55257876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74730810).

55257876 is an abundant number, since it is smaller than the sum of its proper divisors (94203744).

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

55257876 is a wasteful number, since it uses less digits than its factorization.

55257876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5926 (or 5915 counting only the distinct ones).

The product of its digits is 588000, while the sum is 45.

The square root of 55257876 is about 7433.5641518722. The cubic root of 55257876 is about 380.8886772537. Note that the first 3 decimals are identical.

The spelling of 55257876 in words is "fifty-five million, two hundred fifty-seven thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 261 324 348 522 783 1044 1566 2349 3132 4698 5881 9396 11762 17643 23524 35286 52929 70572 105858 158787 170549 211716 317574 341098 476361 511647 635148 682196 952722 1023294 1534941 1905444 2046588 3069882 4604823 6139764 9209646 13814469 18419292 27628938 55257876