Search a number
-
+
45387456 = 263376389
BaseRepresentation
bin1010110100100…
…0111011000000
310011101220212220
42231020323000
543104344311
64300451040
71060533642
oct255107300
9104356786
1045387456
11236902a4
1213249a80
139531aaa
146056892
153eb8206
hex2b48ec0

45387456 has 56 divisors (see below), whose sum is σ = 123352560. Its totient is φ = 14717952.

The previous prime is 45387443. The next prime is 45387457. The reversal of 45387456 is 65478354.

It is not an unprimeable number, because it can be changed into a prime (45387457) 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 7 ways as a sum of consecutive naturals, for example, 3910 + ... + 10298.

Almost surely, 245387456 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 45387456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61676280).

45387456 is an abundant number, since it is smaller than the sum of its proper divisors (77965104).

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

45387456 is a wasteful number, since it uses less digits than its factorization.

45387456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6441 (or 6431 counting only the distinct ones).

The product of its digits is 403200, while the sum is 42.

The square root of 45387456 is about 6737.0213002484. The cubic root of 45387456 is about 356.7072587024.

The spelling of 45387456 in words is "forty-five million, three hundred eighty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 148 192 222 296 444 592 888 1184 1776 2368 3552 6389 7104 12778 19167 25556 38334 51112 76668 102224 153336 204448 236393 306672 408896 472786 613344 709179 945572 1226688 1418358 1891144 2836716 3782288 5673432 7564576 11346864 15129152 22693728 45387456