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54466056 = 23321495077
BaseRepresentation
bin1100111111000…
…1011000001000
310210111011101100
43033301120020
5102420403211
65223221400
71230645111
oct317613010
9123434340
1054466056
1128821177
12162a7860
13b390148
14733b208
154bad156
hex33f1608

54466056 has 48 divisors (see below), whose sum is σ = 148531500. Its totient is φ = 18029952.

The previous prime is 54466043. The next prime is 54466057. The reversal of 54466056 is 65066445.

It is a happy number.

54466056 is a `hidden beast` number, since 5 + 4 + 46 + 605 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 54022500 + 443556 = 7350^2 + 666^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 54466056.

It is not an unprimeable number, because it can be changed into a prime (54466057) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8190 + ... + 13266.

Almost surely, 254466056 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 54466056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74265750).

54466056 is an abundant number, since it is smaller than the sum of its proper divisors (94065444).

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

54466056 is a wasteful number, since it uses less digits than its factorization.

54466056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5238 (or 5231 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 54466056 is about 7380.1121942691. The cubic root of 54466056 is about 379.0605974261.

The spelling of 54466056 in words is "fifty-four million, four hundred sixty-six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 149 298 447 596 894 1192 1341 1788 2682 3576 5077 5364 10154 10728 15231 20308 30462 40616 45693 60924 91386 121848 182772 365544 756473 1512946 2269419 3025892 4538838 6051784 6808257 9077676 13616514 18155352 27233028 54466056