Search a number
-
+
56454732 = 22352412
BaseRepresentation
bin1101011101011…
…0111001001100
310221020012100000
43113112321030
5103423022412
65334004300
71253600025
oct327267114
9127205300
1056454732
112995a304
1216aa6690
13b908389
1476d7c4c
154e524dc
hex35d6e4c

56454732 has 54 divisors (see below), whose sum is σ = 148607004. Its totient is φ = 18740160.

The previous prime is 56454721. The next prime is 56454733. The reversal of 56454732 is 23745465.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

56454732 is a `hidden beast` number, since 5 + 645 + 4 + 7 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (54).

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 (56454733) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 234132 + ... + 234372.

Almost surely, 256454732 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 56454732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74303502).

56454732 is an abundant number, since it is smaller than the sum of its proper divisors (92152272).

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

56454732 is an equidigital number, since it uses as much as digits as its factorization.

56454732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 501 (or 246 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 56454732 is about 7513.6364032338. The cubic root of 56454732 is about 383.6190068809.

The spelling of 56454732 in words is "fifty-six million, four hundred fifty-four thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 241 243 324 482 486 723 964 972 1446 2169 2892 4338 6507 8676 13014 19521 26028 39042 58081 58563 78084 116162 117126 174243 232324 234252 348486 522729 696972 1045458 1568187 2090916 3136374 4704561 6272748 9409122 14113683 18818244 28227366 56454732