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54768100 = 2252547681
BaseRepresentation
bin1101000011101…
…1000111100100
310211001111201011
43100323013210
5103010034400
65233512004
71233343522
oct320730744
9124044634
1054768100
1128a080a2
1216412604
13b46777a
1473b9312
154c1c8ba
hex343b1e4

54768100 has 18 divisors (see below), whose sum is σ = 118846994. Its totient is φ = 21907200.

The previous prime is 54768073. The next prime is 54768121. The reversal of 54768100 is 186745.

54768100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 19079424 + 35688676 = 4368^2 + 5974^2 .

It is a super-2 number, since 2×547681002 = 5999089555220000, which contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 273741 + ... + 273940.

Almost surely, 254768100 is an apocalyptic number.

54768100 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54768100 is an abundant number, since it is smaller than the sum of its proper divisors (64078894).

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

54768100 is a wasteful number, since it uses less digits than its factorization.

54768100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547695 (or 547688 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 54768100 is about 7400.5472770600. The cubic root of 54768100 is about 379.7600054312.

It can be divided in two parts, 5476 and 8100, that multiplied together give a square (44355600 = 66602).

The spelling of 54768100 in words is "fifty-four million, seven hundred sixty-eight thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 547681 1095362 2190724 2738405 5476810 10953620 13692025 27384050 54768100