Search a number
-
+
54465472 = 2623163227
BaseRepresentation
bin1100111111000…
…1001111000000
310210111010120201
43033301033000
5102420343342
65223214544
71230643315
oct317611700
9123433521
1054465472
1128820796
12162a7454
13b38cab9
14733ad0c
154bacdb7
hex33f13c0

54465472 has 56 divisors (see below), whose sum is σ = 113970816. Its totient is φ = 25774848.

The previous prime is 54465431. The next prime is 54465479. The reversal of 54465472 is 27456445.

54465472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54465479) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 239823 + ... + 240049.

Almost surely, 254465472 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 54465472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56985408).

54465472 is an abundant number, since it is smaller than the sum of its proper divisors (59505344).

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

54465472 is a wasteful number, since it uses less digits than its factorization.

54465472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 415 counting only the distinct ones).

The product of its digits is 134400, while the sum is 37.

The square root of 54465472 is about 7380.0726283689. The cubic root of 54465472 is about 379.0592426240.

The spelling of 54465472 in words is "fifty-four million, four hundred sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 4 8 16 23 32 46 64 92 163 184 227 326 368 454 652 736 908 1304 1472 1816 2608 3632 3749 5216 5221 7264 7498 10432 10442 14528 14996 20884 29992 37001 41768 59984 74002 83536 119968 148004 167072 239936 296008 334144 592016 851023 1184032 1702046 2368064 3404092 6808184 13616368 27232736 54465472