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45469216 = 2513293769
BaseRepresentation
bin1010110101110…
…0111000100000
310011120002001001
42231130320200
543120003331
64302321344
71061324212
oct255347040
9104502031
1045469216
1123736771
1213289254
139560080
1460785b2
153ed2561
hex2b5ce20

45469216 has 48 divisors (see below), whose sum is σ = 99754200. Its totient is φ = 20256768.

The previous prime is 45469213. The next prime is 45469267. The reversal of 45469216 is 61296454.

It can be written as a sum of positive squares in 4 ways, for example, as 38688400 + 6780816 = 6220^2 + 2604^2 .

It is not an unprimeable number, because it can be changed into a prime (45469213) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10180 + ... + 13948.

Almost surely, 245469216 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 45469216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49877100).

45469216 is an abundant number, since it is smaller than the sum of its proper divisors (54284984).

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

45469216 is a wasteful number, since it uses less digits than its factorization.

45469216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3821 (or 3813 counting only the distinct ones).

The product of its digits is 51840, while the sum is 37.

The square root of 45469216 is about 6743.0865336284. The cubic root of 45469216 is about 356.9213185148.

The spelling of 45469216 in words is "forty-five million, four hundred sixty-nine thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 29 32 52 58 104 116 208 232 377 416 464 754 928 1508 3016 3769 6032 7538 12064 15076 30152 48997 60304 97994 109301 120608 195988 218602 391976 437204 783952 874408 1420913 1567904 1748816 2841826 3497632 5683652 11367304 22734608 45469216