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45435432 = 23372291181
BaseRepresentation
bin1010110101010…
…0101000101000
310011111100200210
42231110220220
543112413212
64301501120
71061123550
oct255245050
9104440623
1045435432
1123713349
12132717a0
13954a893
14606a160
153ec753c
hex2b54a28

45435432 has 64 divisors (see below), whose sum is σ = 130492800. Its totient is φ = 12913920.

The previous prime is 45435427. The next prime is 45435433. The reversal of 45435432 is 23453454.

It is a self number, because there is not a number n which added to its sum of digits gives 45435432.

It is not an unprimeable number, because it can be changed into a prime (45435433) 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 15 ways as a sum of consecutive naturals, for example, 37882 + ... + 39062.

It is an arithmetic number, because the mean of its divisors is an integer number (2038950).

Almost surely, 245435432 is an apocalyptic number.

45435432 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45435432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65246400).

45435432 is an abundant number, since it is smaller than the sum of its proper divisors (85057368).

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

45435432 is a wasteful number, since it uses less digits than its factorization.

45435432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1426 (or 1422 counting only the distinct ones).

The product of its digits is 28800, while the sum is 30.

The square root of 45435432 is about 6740.5809838619. The cubic root of 45435432 is about 356.8328981242.

Adding to 45435432 its reverse (23453454), we get a palindrome (68888886).

The spelling of 45435432 in words is "forty-five million, four hundred thirty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 229 458 687 916 1181 1374 1603 1832 2362 2748 3206 3543 4724 4809 5496 6412 7086 8267 9448 9618 12824 14172 16534 19236 24801 28344 33068 38472 49602 66136 99204 198408 270449 540898 811347 1081796 1622694 1893143 2163592 3245388 3786286 5679429 6490776 7572572 11358858 15145144 22717716 45435432