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54004728 = 23329312503
BaseRepresentation
bin1100111000000…
…0101111111000
310202121201120010
43032000233320
5102311122403
65205301520
71224014121
oct316005770
9122551503
1054004728
1128536608
12161048a0
13b25b17b
14725b048
154b1b603
hex3380bf8

54004728 has 64 divisors (see below), whose sum is σ = 144230400. Its totient is φ = 16813440.

The previous prime is 54004723. The next prime is 54004771. The reversal of 54004728 is 82740045.

54004728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 54004695 and 54004704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54004723) 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 15 ways as a sum of consecutive naturals, for example, 20325 + ... + 22827.

It is an arithmetic number, because the mean of its divisors is an integer number (2253600).

Almost surely, 254004728 is an apocalyptic number.

54004728 is a gapful number since it is divisible by the number (58) 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 54004728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72115200).

54004728 is an abundant number, since it is smaller than the sum of its proper divisors (90225672).

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

54004728 is a wasteful number, since it uses less digits than its factorization.

54004728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 30.

The square root of 54004728 is about 7348.7909209611. The cubic root of 54004728 is about 377.9873459553.

The spelling of 54004728 in words is "fifty-four million, four thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 29 31 58 62 87 93 116 124 174 186 232 248 348 372 696 744 899 1798 2503 2697 3596 5006 5394 7192 7509 10012 10788 15018 20024 21576 30036 60072 72587 77593 145174 155186 217761 232779 290348 310372 435522 465558 580696 620744 871044 931116 1742088 1862232 2250197 4500394 6750591 9000788 13501182 18001576 27002364 54004728