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54505472 = 21271901
BaseRepresentation
bin1100111111101…
…1000000000000
310210120011110012
43033323000000
5102423133342
65224124052
71231201040
oct317730000
9123504405
1054505472
112884884a
1216306628
13b3a5078
14734b720
154bb9b82
hex33fb000

54505472 has 52 divisors (see below), whose sum is σ = 124634256. Its totient is φ = 23347200.

The previous prime is 54505459. The next prime is 54505489. The reversal of 54505472 is 27450545.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 27722 + ... + 29622.

Almost surely, 254505472 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 54505472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62317128).

54505472 is an abundant number, since it is smaller than the sum of its proper divisors (70128784).

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

54505472 is an equidigital number, since it uses as much as digits as its factorization.

54505472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 28000, while the sum is 32.

The square root of 54505472 is about 7382.7821314190. The cubic root of 54505472 is about 379.1520149124.

The spelling of 54505472 in words is "fifty-four million, five hundred five thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 1901 2048 3584 3802 4096 7168 7604 13307 14336 15208 26614 28672 30416 53228 60832 106456 121664 212912 243328 425824 486656 851648 973312 1703296 1946624 3406592 3893248 6813184 7786496 13626368 27252736 54505472