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54672512 = 271014229
BaseRepresentation
bin1101000010001…
…1110010000000
310210212122120212
43100203302000
5102444010022
65231453252
71232465036
oct320436200
9123778525
1054672512
11289522a4
1216387228
13b4330cb
147392556
154bee3e2
hex3423c80

54672512 has 32 divisors (see below), whose sum is σ = 110022300. Its totient is φ = 27059200.

The previous prime is 54672509. The next prime is 54672517. The reversal of 54672512 is 21527645.

It can be written as a sum of positive squares in 2 ways, for example, as 34386496 + 20286016 = 5864^2 + 4504^2 .

It is a tau number, because it is divible by the number of its divisors (32).

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

It is not an unprimeable number, because it can be changed into a prime (54672517) 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, 10814 + ... + 15042.

Almost surely, 254672512 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 54672512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55011150).

54672512 is an abundant number, since it is smaller than the sum of its proper divisors (55349788).

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

54672512 is a wasteful number, since it uses less digits than its factorization.

54672512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4344 (or 4332 counting only the distinct ones).

The product of its digits is 16800, while the sum is 32.

The square root of 54672512 is about 7394.0862856745. The cubic root of 54672512 is about 379.5389422053.

The spelling of 54672512 in words is "fifty-four million, six hundred seventy-two thousand, five hundred twelve".

Divisors: 1 2 4 8 16 32 64 101 128 202 404 808 1616 3232 4229 6464 8458 12928 16916 33832 67664 135328 270656 427129 541312 854258 1708516 3417032 6834064 13668128 27336256 54672512