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45670716 = 22347131549
BaseRepresentation
bin1010111000111…
…0000100111100
310011221022110000
42232032010330
543142430331
64310514300
71063123530
oct256160474
9104838400
1045670716
11238640a3
1213365990
1396009c0
1460cbbc0
1540220e6
hex2b8e13c

45670716 has 120 divisors (see below), whose sum is σ = 147039200. Its totient is φ = 12037248.

The previous prime is 45670693. The next prime is 45670717. The reversal of 45670716 is 61707654.

45670716 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45670717) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 28710 + ... + 30258.

Almost surely, 245670716 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 45670716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73519600).

45670716 is an abundant number, since it is smaller than the sum of its proper divisors (101368484).

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

45670716 is a wasteful number, since it uses less digits than its factorization.

45670716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 45670716 is about 6758.0112459214. The cubic root of 45670716 is about 357.4477821592.

It can be divided in two parts, 45 and 670716, that added together give a square (670761 = 8192).

The spelling of 45670716 in words is "forty-five million, six hundred seventy thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 162 182 189 234 252 273 324 351 364 378 468 546 567 702 756 819 1053 1092 1134 1404 1549 1638 2106 2268 2457 3098 3276 4212 4647 4914 6196 7371 9294 9828 10843 13941 14742 18588 20137 21686 27882 29484 32529 40274 41823 43372 55764 60411 65058 80548 83646 97587 120822 125469 130116 140959 167292 181233 195174 241644 250938 281918 292761 362466 390348 422877 501876 543699 563836 585522 724932 845754 878283 1087398 1171044 1268631 1631097 1691508 1756566 2174796 2537262 3262194 3513132 3805893 5074524 6524388 7611786 11417679 15223572 22835358 45670716