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54351400 = 23521914303
BaseRepresentation
bin1100111101010…
…1011000101000
310210021100002211
43033111120220
5102403221100
65220534504
71226656615
oct317253050
9123240084
1054351400
1128753014
1216251434
13b34cbbc
14730b50c
154b891ba
hex33d5628

54351400 has 48 divisors (see below), whose sum is σ = 133027200. Its totient is φ = 20594880.

The previous prime is 54351389. The next prime is 54351403. The reversal of 54351400 is 415345.

54351400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (54351403) by changing a digit.

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, 3352 + ... + 10951.

It is an arithmetic number, because the mean of its divisors is an integer number (2771400).

Almost surely, 254351400 is an apocalyptic number.

54351400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54351400 is an abundant number, since it is smaller than the sum of its proper divisors (78675800).

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

54351400 is a wasteful number, since it uses less digits than its factorization.

54351400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14338 (or 14329 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 54351400 is about 7372.3401983359. The cubic root of 54351400 is about 378.7944248921.

Adding to 54351400 its reverse (415345), we get a palindrome (54766745).

The spelling of 54351400 in words is "fifty-four million, three hundred fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 14303 28606 57212 71515 114424 143030 271757 286060 357575 543514 572120 715150 1087028 1358785 1430300 2174056 2717570 2860600 5435140 6793925 10870280 13587850 27175700 54351400