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45135012 = 22313532103
BaseRepresentation
bin1010110000101…
…1010010100100
310010221002121010
42230023102210
543023310022
64251222220
71055432646
oct254132244
9103832533
1045135012
112352866a
1213147970
139473c10
145dcc896
153e6850c
hex2b0b4a4

45135012 has 72 divisors (see below), whose sum is σ = 116718784. Its totient is φ = 13493376.

The previous prime is 45135011. The next prime is 45135031. The reversal of 45135012 is 21053154.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 45135012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45135011) 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 23 ways as a sum of consecutive naturals, for example, 438153 + ... + 438255.

Almost surely, 245135012 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 45135012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58359392).

45135012 is an abundant number, since it is smaller than the sum of its proper divisors (71583772).

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

45135012 is a wasteful number, since it uses less digits than its factorization.

45135012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 45135012 is about 6718.2595960561. The cubic root of 45135012 is about 356.0446962355.

Adding to 45135012 its reverse (21053154), we get a palindrome (66188166).

The spelling of 45135012 in words is "forty-five million, one hundred thirty-five thousand, twelve".

Divisors: 1 2 3 4 6 12 13 26 39 52 53 78 103 106 156 159 206 212 309 318 412 618 636 689 1236 1339 1378 2067 2678 2756 2809 4017 4134 5356 5459 5618 8034 8268 8427 10918 11236 16068 16377 16854 21836 32754 33708 36517 65508 70967 73034 109551 141934 146068 212901 219102 283868 289327 425802 438204 578654 851604 867981 1157308 1735962 3471924 3761251 7522502 11283753 15045004 22567506 45135012