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45375252 = 223131811607
BaseRepresentation
bin1010110100010…
…1111100010100
310011101022010220
42231011330110
543104002002
64300314340
71060453236
oct255057424
9104338126
1045375252
112368210a
12132429b0
139529380
146052256
153eb47bc
hex2b45f14

45375252 has 48 divisors (see below), whose sum is σ = 114721152. Its totient is φ = 13875840.

The previous prime is 45375241. The next prime is 45375269. The reversal of 45375252 is 25257354.

45375252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27433 + ... + 29039.

It is an arithmetic number, because the mean of its divisors is an integer number (2390024).

Almost surely, 245375252 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 45375252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57360576).

45375252 is an abundant number, since it is smaller than the sum of its proper divisors (69345900).

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

45375252 is a wasteful number, since it uses less digits than its factorization.

45375252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1808 (or 1806 counting only the distinct ones).

The product of its digits is 42000, while the sum is 33.

The square root of 45375252 is about 6736.1154978222. The cubic root of 45375252 is about 356.6752847754.

The spelling of 45375252 in words is "forty-five million, three hundred seventy-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 181 362 543 724 1086 1607 2172 2353 3214 4706 4821 6428 7059 9412 9642 14118 19284 20891 28236 41782 62673 83564 125346 250692 290867 581734 872601 1163468 1745202 3490404 3781271 7562542 11343813 15125084 22687626 45375252