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55418100 = 22352184727
BaseRepresentation
bin1101001101100…
…1110011110100
310212021112100020
43103121303310
5103141334400
65255445140
71242021543
oct323316364
9125245306
1055418100
1129311491
12166867b0
13b63459a
14750815a
154cea2a0
hex34d9cf4

55418100 has 36 divisors (see below), whose sum is σ = 160343904. Its totient is φ = 14778080.

The previous prime is 55418093. The next prime is 55418131. The reversal of 55418100 is 181455.

It is a super-2 number, since 2×554181002 = 6142331615220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92064 + ... + 92663.

Almost surely, 255418100 is an apocalyptic number.

55418100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55418100 is an abundant number, since it is smaller than the sum of its proper divisors (104925804).

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

55418100 is a wasteful number, since it uses less digits than its factorization.

55418100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184744 (or 184737 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 24.

The square root of 55418100 is about 7444.3334154241. Note that the first 3 decimals coincide. The cubic root of 55418100 is about 381.2564596236.

Adding to 55418100 its reverse (181455), we get a palindrome (55599555).

It can be divided in two parts, 55 and 418100, that added together give a triangular number (418155 = T914).

The spelling of 55418100 in words is "fifty-five million, four hundred eighteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 184727 369454 554181 738908 923635 1108362 1847270 2216724 2770905 3694540 4618175 5541810 9236350 11083620 13854525 18472700 27709050 55418100