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54095904 = 25331729127
BaseRepresentation
bin1100111001011…
…1000000100000
310202210100122000
43032113000200
5102322032104
65211244000
71224544002
oct316270040
9122710560
1054095904
1128599065
1216149600
13b290815
147282372
154b38639
hex3397020

54095904 has 192 divisors, whose sum is σ = 174182400. Its totient is φ = 16257024.

The previous prime is 54095897. The next prime is 54095917. The reversal of 54095904 is 40959045.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 425889 + ... + 426015.

It is an arithmetic number, because the mean of its divisors is an integer number (907200).

Almost surely, 254095904 is an apocalyptic number.

54095904 is a gapful number since it is divisible by the number (54) 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 54095904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87091200).

54095904 is an abundant number, since it is smaller than the sum of its proper divisors (120086496).

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

54095904 is a wasteful number, since it uses less digits than its factorization.

54095904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 54095904 is about 7354.9917742986. The cubic root of 54095904 is about 378.1999446104.

The spelling of 54095904 in words is "fifty-four million, ninety-five thousand, nine hundred four".