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55111900 = 2252599341
BaseRepresentation
bin1101001000111…
…1000011011100
310211200222022111
43102033003130
5103102040100
65245123404
71236305044
oct322170334
9124628274
1055111900
1129122428
1216559564
13b5580bc
147468724
154c896ba
hex348f0dc

55111900 has 36 divisors (see below), whose sum is σ = 121632840. Its totient is φ = 21668800.

The previous prime is 55111897. The next prime is 55111957. The reversal of 55111900 is 911155.

55111900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×551119002 = 6074643043220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1230 + ... + 10570.

It is an arithmetic number, because the mean of its divisors is an integer number (3378690).

Almost surely, 255111900 is an apocalyptic number.

55111900 is a gapful number since it is divisible by the number (50) 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 55111900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60816420).

55111900 is an abundant number, since it is smaller than the sum of its proper divisors (66520940).

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

55111900 is a wasteful number, since it uses less digits than its factorization.

55111900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9414 (or 9407 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 22.

The square root of 55111900 is about 7423.7389501517. The cubic root of 55111900 is about 380.5529806856.

The spelling of 55111900 in words is "fifty-five million, one hundred eleven thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 590 1180 1475 2950 5900 9341 18682 37364 46705 93410 186820 233525 467050 551119 934100 1102238 2204476 2755595 5511190 11022380 13777975 27555950 55111900