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54716048 = 241929473
BaseRepresentation
bin1101000010111…
…0011010010000
310210221212022022
43100232122100
5103001403143
65232431012
71233036002
oct320563220
9123855268
1054716048
1128981a82
12163a8468
13b449b7a
1473a4372
154c0c268
hex342e690

54716048 has 30 divisors (see below), whose sum is σ = 111897414. Its totient is φ = 25915392.

The previous prime is 54716041. The next prime is 54716093. The reversal of 54716048 is 84061745.

It can be written as a sum of positive squares in only one way, i.e., 54346384 + 369664 = 7372^2 + 608^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 54715999 and 54716017.

It is not an unprimeable number, because it can be changed into a prime (54716041) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 1040 + ... + 10512.

Almost surely, 254716048 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 54716048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55948707).

54716048 is an abundant number, since it is smaller than the sum of its proper divisors (57181366).

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

54716048 is a wasteful number, since it uses less digits than its factorization.

54716048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9519 (or 9494 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The square root of 54716048 is about 7397.0296741327. The cubic root of 54716048 is about 379.6396584078.

The spelling of 54716048 in words is "fifty-four million, seven hundred sixteen thousand, forty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2888 5776 9473 18946 37892 75784 151568 179987 359974 719948 1439896 2879792 3419753 6839506 13679012 27358024 54716048