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55807400 = 23521125367
BaseRepresentation
bin1101010011100…
…0110110101000
310220000022100202
43110320312220
5103241314100
65312051332
71245232535
oct324706650
9126008322
1055807400
1129557a20
1216833b48
13b73c83c
1475a9d8c
154d757d5
hex3538da8

55807400 has 48 divisors (see below), whose sum is σ = 141553440. Its totient is φ = 20292800.

The previous prime is 55807393. The next prime is 55807403. The reversal of 55807400 is 470855.

55807400 = T95 + T96 + ... + T694.

55807400 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 2×558074002 = 6228931789520000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55807403) 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, 10484 + ... + 14883.

It is an arithmetic number, because the mean of its divisors is an integer number (2949030).

Almost surely, 255807400 is an apocalyptic number.

55807400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

55807400 is an abundant number, since it is smaller than the sum of its proper divisors (85746040).

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

55807400 is a wasteful number, since it uses less digits than its factorization.

55807400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25394 (or 25385 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 55807400 is about 7470.4350609586. The cubic root of 55807400 is about 382.1471249664.

The spelling of 55807400 in words is "fifty-five million, eight hundred seven thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 25367 50734 101468 126835 202936 253670 279037 507340 558074 634175 1014680 1116148 1268350 1395185 2232296 2536700 2790370 5073400 5580740 6975925 11161480 13951850 27903700 55807400