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54309376 = 29119643
BaseRepresentation
bin1100111100101…
…1001000000000
310210012012110101
43033023020000
5102400400001
65220012144
71226423242
oct317131000
9123165411
1054309376
1128724490
1216231054
13b336a34
1472da092
154b7ba01
hex33cb200

54309376 has 40 divisors (see below), whose sum is σ = 118389744. Its totient is φ = 24683520.

The previous prime is 54309361. The next prime is 54309383. The reversal of 54309376 is 67390345.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 811 + ... + 10453.

Almost surely, 254309376 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 54309376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59194872).

54309376 is an abundant number, since it is smaller than the sum of its proper divisors (64080368).

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

54309376 is an equidigital number, since it uses as much as digits as its factorization.

54309376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9672 (or 9656 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 37.

The square root of 54309376 is about 7369.4895345607. The cubic root of 54309376 is about 378.6967729375.

It can be divided in two parts, 543093 and 76, that added together give a square (543169 = 7372).

The spelling of 54309376 in words is "fifty-four million, three hundred nine thousand, three hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 512 704 1408 2816 5632 9643 19286 38572 77144 106073 154288 212146 308576 424292 617152 848584 1234304 1697168 2468608 3394336 4937216 6788672 13577344 27154688 54309376