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55188700 = 2252731609
BaseRepresentation
bin1101001010000…
…1110011011100
310211211212122221
43102201303130
5103112014300
65250515124
71240045000
oct322416334
9124755587
1055188700
11291750a6
1216595aa4
13b584048
147488700
154ca231a
hex34a1cdc

55188700 has 72 divisors (see below), whose sum is σ = 139748000. Its totient is φ = 18910080.

The previous prime is 55188677. The next prime is 55188767. The reversal of 55188700 is 788155.

55188700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 33496 + ... + 35104.

Almost surely, 255188700 is an apocalyptic number.

55188700 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 55188700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69874000).

55188700 is an abundant number, since it is smaller than the sum of its proper divisors (84559300).

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

55188700 is a wasteful number, since it uses less digits than its factorization.

55188700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1644 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 34.

The square root of 55188700 is about 7428.9097450433. The cubic root of 55188700 is about 380.7296691046.

The spelling of 55188700 in words is "fifty-five million, one hundred eighty-eight thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 140 175 196 245 343 350 490 686 700 980 1225 1372 1609 1715 2450 3218 3430 4900 6436 6860 8045 8575 11263 16090 17150 22526 32180 34300 40225 45052 56315 78841 80450 112630 157682 160900 225260 281575 315364 394205 551887 563150 788410 1103774 1126300 1576820 1971025 2207548 2759435 3942050 5518870 7884100 11037740 13797175 27594350 55188700