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45129756 = 2237836473
BaseRepresentation
bin1010110000101…
…0000000011100
310010220211101110
42230022000130
543023123011
64251142020
71055411430
oct254120034
9103824343
1045129756
1123524721
1213144910
1394716c9
145dca9c0
153e66ba6
hex2b0a01c

45129756 has 48 divisors (see below), whose sum is σ = 121814784. Its totient is φ = 12736896.

The previous prime is 45129737. The next prime is 45129761. The reversal of 45129756 is 65792154.

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, 3736 + ... + 10208.

It is an arithmetic number, because the mean of its divisors is an integer number (2537808).

Almost surely, 245129756 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 45129756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60907392).

45129756 is an abundant number, since it is smaller than the sum of its proper divisors (76685028).

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

45129756 is a wasteful number, since it uses less digits than its factorization.

45129756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6570 (or 6568 counting only the distinct ones).

The product of its digits is 75600, while the sum is 39.

The square root of 45129756 is about 6717.8684119295. The cubic root of 45129756 is about 356.0308751575.

The spelling of 45129756 in words is "forty-five million, one hundred twenty-nine thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 83 84 166 249 332 498 581 996 1162 1743 2324 3486 6473 6972 12946 19419 25892 38838 45311 77676 90622 135933 181244 271866 537259 543732 1074518 1611777 2149036 3223554 3760813 6447108 7521626 11282439 15043252 22564878 45129756