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54509568 = 21431109
BaseRepresentation
bin1100111111110…
…0000000000000
310210120101001220
43033330000000
5102423301233
65224155040
71231216011
oct317740000
9123511056
1054509568
1128850933
1216308a80
13b3a6ba9
14734d008
154bbaeb3
hex33fc000

54509568 has 60 divisors (see below), whose sum is σ = 145485480. Its totient is φ = 18153472.

The previous prime is 54509551. The next prime is 54509579. The reversal of 54509568 is 86590545.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

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, 48598 + ... + 49706.

It is an arithmetic number, because the mean of its divisors is an integer number (2424758).

Almost surely, 254509568 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 54509568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72742740).

54509568 is an abundant number, since it is smaller than the sum of its proper divisors (90975912).

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

54509568 is an equidigital number, since it uses as much as digits as its factorization.

54509568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1114 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 42.

The square root of 54509568 is about 7383.0595284069. The cubic root of 54509568 is about 379.1615122325.

The spelling of 54509568 in words is "fifty-four million, five hundred nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1109 1536 2048 2218 3072 3327 4096 4436 6144 6654 8192 8872 12288 13308 16384 17744 24576 26616 35488 49152 53232 70976 106464 141952 212928 283904 425856 567808 851712 1135616 1703424 2271232 3406848 4542464 6813696 9084928 13627392 18169856 27254784 54509568