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54345728 = 21431107
BaseRepresentation
bin1100111101010…
…0000000000000
310210021001022202
43033110000000
5102403030403
65220452332
71226634233
oct317240000
9123231282
1054345728
1128749828
121624a0a8
13b34a448
14730941a
154b87688
hex33d4000

54345728 has 60 divisors (see below), whose sum is σ = 113242752. Its totient is φ = 26050560.

The previous prime is 54345721. The next prime is 54345761. The reversal of 54345728 is 82754345.

It is a happy number.

Its product of digits (134400) is a multiple of the sum of its prime divisors (140).

It is a junction number, because it is equal to n+sod(n) for n = 54345691 and 54345700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54345721) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 507851 + ... + 507957.

Almost surely, 254345728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54345728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56621376).

54345728 is an abundant number, since it is smaller than the sum of its proper divisors (58897024).

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

54345728 is an equidigital number, since it uses as much as digits as its factorization.

54345728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 140 counting only the distinct ones).

The product of its digits is 134400, while the sum is 38.

The square root of 54345728 is about 7371.9555071907. The cubic root of 54345728 is about 378.7812476988.

The spelling of 54345728 in words is "fifty-four million, three hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 16 31 32 62 64 107 124 128 214 248 256 428 496 512 856 992 1024 1712 1984 2048 3317 3424 3968 4096 6634 6848 7936 8192 13268 13696 15872 16384 26536 27392 31744 53072 54784 63488 106144 109568 126976 212288 219136 253952 424576 438272 507904 849152 876544 1698304 1753088 3396608 6793216 13586432 27172864 54345728