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54412900 = 2252544129
BaseRepresentation
bin1100111110010…
…0011001100100
310210101110110121
43033210121210
5102412203100
65222131324
71230334123
oct317443144
9123343417
1054412900
1128795243
1216280b44
13b371ba9
147325aba
154b9c51a
hex33e4664

54412900 has 18 divisors (see below), whose sum is σ = 118076210. Its totient is φ = 21765120.

The previous prime is 54412879. The next prime is 54412921. The reversal of 54412900 is 921445.

54412900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54412879) and next prime (54412921).

It can be written as a sum of positive squares in 3 ways, for example, as 1327104 + 53085796 = 1152^2 + 7286^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

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, 271965 + ... + 272164.

Almost surely, 254412900 is an apocalyptic number.

54412900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54412900 is an abundant number, since it is smaller than the sum of its proper divisors (63663310).

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

54412900 is a wasteful number, since it uses less digits than its factorization.

54412900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544143 (or 544136 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 54412900 is about 7376.5100149054. The cubic root of 54412900 is about 378.9372429001.

The spelling of 54412900 in words is "fifty-four million, four hundred twelve thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 544129 1088258 2176516 2720645 5441290 10882580 13603225 27206450 54412900