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55800992 = 2513314327
BaseRepresentation
bin1101010011011…
…1010010100000
310212222222120102
43110313102200
5103241112432
65312001532
71245205052
oct324672240
9125888512
1055800992
1129553125
12168302a8
13b739950
1475a78d2
154d73962
hex35374a0

55800992 has 48 divisors (see below), whose sum is σ = 122153472. Its totient is φ = 24917760.

The previous prime is 55800991. The next prime is 55801001. The reversal of 55800992 is 29900855.

It is a happy number.

It is a super-2 number, since 2×558009922 = 6227501416368128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55800991) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10733 + ... + 15059.

It is an arithmetic number, because the mean of its divisors is an integer number (2544864).

Almost surely, 255800992 is an apocalyptic number.

55800992 is a gapful number since it is divisible by the number (52) 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 55800992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61076736).

55800992 is an abundant number, since it is smaller than the sum of its proper divisors (66352480).

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

55800992 is a wasteful number, since it uses less digits than its factorization.

55800992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4381 (or 4373 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 38.

The square root of 55800992 is about 7470.0061579627. The cubic root of 55800992 is about 382.1324979187.

It can be divided in two parts, 55800 and 992, that multiplied together give a square (55353600 = 74402).

The spelling of 55800992 in words is "fifty-five million, eight hundred thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 208 248 403 416 496 806 992 1612 3224 4327 6448 8654 12896 17308 34616 56251 69232 112502 134137 138464 225004 268274 450008 536548 900016 1073096 1743781 1800032 2146192 3487562 4292384 6975124 13950248 27900496 55800992