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64145682 = 235891483
BaseRepresentation
bin1111010010110…
…0100100010010
311110200221100000
43310230210102
5112410130212
610210510430
71406141436
oct364544422
9143627300
1064145682
1133232667
1219595416
131039bc33
14873a9c6
1559711dc
hex3d2c912

64145682 has 48 divisors (see below), whose sum is σ = 145847520. Its totient is φ = 21127392.

The previous prime is 64145681. The next prime is 64145699. The reversal of 64145682 is 28654146.

64145682 is a `hidden beast` number, since 641 + 4 + 5 + 6 + 8 + 2 = 666.

It is a super-2 number, since 2×641456822 = 8229337038490248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (64145681) 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, 42513 + ... + 43995.

It is an arithmetic number, because the mean of its divisors is an integer number (3038490).

Almost surely, 264145682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64145682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72923760).

64145682 is an abundant number, since it is smaller than the sum of its proper divisors (81701838).

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

64145682 is a wasteful number, since it uses less digits than its factorization.

64145682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1589 (or 1577 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 64145682 is about 8009.0999494325. The cubic root of 64145682 is about 400.3032741705.

The spelling of 64145682 in words is "sixty-four million, one hundred forty-five thousand, six hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 54 81 89 162 178 243 267 486 534 801 1483 1602 2403 2966 4449 4806 7209 8898 13347 14418 21627 26694 40041 43254 80082 120123 131987 240246 263974 360369 395961 720738 791922 1187883 2375766 3563649 7127298 10690947 21381894 32072841 64145682