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45000252 = 22331137879
BaseRepresentation
bin1010101110101…
…0011000111100
310010200020202000
42223222120330
543010002002
64244302300
71054332033
oct253523074
9103606660
1045000252
11234463a0
12130a1990
13942778b
145d9571a
153e3d61c
hex2aea63c

45000252 has 48 divisors (see below), whose sum is σ = 127276800. Its totient is φ = 13636080.

The previous prime is 45000239. The next prime is 45000271. The reversal of 45000252 is 25200054.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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, 17752 + ... + 20127.

It is an arithmetic number, because the mean of its divisors is an integer number (2651600).

Almost surely, 245000252 is an apocalyptic number.

It is an amenable number.

45000252 is an abundant number, since it is smaller than the sum of its proper divisors (82276548).

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

45000252 is a wasteful number, since it uses less digits than its factorization.

45000252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37903 (or 37895 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 18.

The square root of 45000252 is about 6708.2227154441. Note that the first 3 decimals coincide. The cubic root of 45000252 is about 355.6899944012.

It can be divided in two parts, 450002 and 52, that added together give a palindrome (450054).

The spelling of 45000252 in words is "forty-five million, two hundred fifty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 37879 75758 113637 151516 227274 340911 416669 454548 681822 833338 1022733 1250007 1363644 1666676 2045466 2500014 3750021 4090932 5000028 7500042 11250063 15000084 22500126 45000252