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45435012 = 22371274259
BaseRepresentation
bin1010110101010…
…0100010000100
310011111100010020
42231110202010
543112410022
64301455140
71061122410
oct255244204
9104440106
1045435012
1123712aa7
12132714b0
13954a62c
146069d40
153ec735c
hex2b54884

45435012 has 48 divisors (see below), whose sum is σ = 122142720. Its totient is φ = 12876192.

The previous prime is 45434993. The next prime is 45435059. The reversal of 45435012 is 21053454.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8539 + ... + 12797.

It is an arithmetic number, because the mean of its divisors is an integer number (2544640).

Almost surely, 245435012 is an apocalyptic number.

45435012 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 45435012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61071360).

45435012 is an abundant number, since it is smaller than the sum of its proper divisors (76707708).

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

45435012 is a wasteful number, since it uses less digits than its factorization.

45435012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4400 (or 4398 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 45435012 is about 6740.5498292053. The cubic root of 45435012 is about 356.8317986131.

Adding to 45435012 its reverse (21053454), we get a palindrome (66488466).

The spelling of 45435012 in words is "forty-five million, four hundred thirty-five thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 127 254 381 508 762 889 1524 1778 2667 3556 4259 5334 8518 10668 12777 17036 25554 29813 51108 59626 89439 119252 178878 357756 540893 1081786 1622679 2163572 3245358 3786251 6490716 7572502 11358753 15145004 22717506 45435012