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45456312 = 2331131423
BaseRepresentation
bin1010110101100…
…1101110111000
310011112102100010
42231121232320
543114100222
64302141520
71061241456
oct255315670
9104472303
1045456312
1123728000
12132818a0
139557235
1460739d6
153ecd80c
hex2b59bb8

45456312 has 64 divisors (see below), whose sum is σ = 125084160. Its totient is φ = 13764960.

The previous prime is 45456293. The next prime is 45456319. The reversal of 45456312 is 21365454.

It is a self number, because there is not a number n which added to its sum of digits gives 45456312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45456319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31233 + ... + 32655.

It is an arithmetic number, because the mean of its divisors is an integer number (1954440).

Almost surely, 245456312 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 45456312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62542080).

45456312 is an abundant number, since it is smaller than the sum of its proper divisors (79627848).

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

45456312 is a wasteful number, since it uses less digits than its factorization.

45456312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1465 (or 1439 counting only the distinct ones).

The product of its digits is 14400, while the sum is 30.

The square root of 45456312 is about 6742.1296338768. The cubic root of 45456312 is about 356.8875509913.

The spelling of 45456312 in words is "forty-five million, four hundred fifty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1331 1423 1452 2662 2846 2904 3993 4269 5324 5692 7986 8538 10648 11384 15653 15972 17076 31306 31944 34152 46959 62612 93918 125224 172183 187836 344366 375672 516549 688732 1033098 1377464 1894013 2066196 3788026 4132392 5682039 7576052 11364078 15152104 22728156 45456312