Search a number
-
+
54716832 = 2532189989
BaseRepresentation
bin1101000010111…
…0100110100000
310210221220101100
43100232212200
5103001414312
65232434400
71233041202
oct320564640
9123856340
1054716832
1128982625
12163a8a00
13b44a331
1473a4772
154c0c5dc
hex342e9a0

54716832 has 36 divisors (see below), whose sum is σ = 155601810. Its totient is φ = 18238848.

The previous prime is 54716819. The next prime is 54716833. The reversal of 54716832 is 23861745.

It can be written as a sum of positive squares in only one way, i.e., 33593616 + 21123216 = 5796^2 + 4596^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (54716833) 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, 94707 + ... + 95282.

Almost surely, 254716832 is an apocalyptic number.

It is an amenable number.

54716832 is an abundant number, since it is smaller than the sum of its proper divisors (100884978).

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

54716832 is a wasteful number, since it uses less digits than its factorization.

54716832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190005 (or 189994 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 54716832 is about 7397.0826681875. The cubic root of 54716832 is about 379.6414716240.

The spelling of 54716832 in words is "fifty-four million, seven hundred sixteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 189989 379978 569967 759956 1139934 1519912 1709901 2279868 3039824 3419802 4559736 6079648 6839604 9119472 13679208 18238944 27358416 54716832