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45705690 = 23251729873
BaseRepresentation
bin1010111001011…
…0100111011010
310012000002102100
42232112213122
543200040230
64311344230
71063330512
oct256264732
9105002370
1045705690
11238883a8
1213382076
1396138b4
1460da842
15402c660
hex2b969da

45705690 has 48 divisors (see below), whose sum is σ = 125829288. Its totient is φ = 11470848.

The previous prime is 45705661. The next prime is 45705691. The reversal of 45705690 is 9650754.

It can be written as a sum of positive squares in 4 ways, for example, as 45684081 + 21609 = 6759^2 + 147^2 .

It is a super-2 number, since 2×457056902 = 4178020196752200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45705691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13407 + ... + 16466.

Almost surely, 245705690 is an apocalyptic number.

45705690 is an abundant number, since it is smaller than the sum of its proper divisors (80123598).

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

45705690 is a wasteful number, since it uses less digits than its factorization.

45705690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29903 (or 29900 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 45705690 is about 6760.5983463004. The cubic root of 45705690 is about 357.5390017273.

The spelling of 45705690 in words is "forty-five million, seven hundred five thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 306 510 765 1530 29873 59746 89619 149365 179238 268857 298730 448095 507841 537714 896190 1015682 1344285 1523523 2539205 2688570 3047046 4570569 5078410 7617615 9141138 15235230 22852845 45705690