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64135950 = 2352597247
BaseRepresentation
bin1111010010101…
…0001100001110
311110200102222120
43310222030032
5112404322300
610210353410
71406101164
oct364521416
9143612876
1064135950
113322631a
121958b866
1310397688
148737234
15596d3a0
hex3d2a30e

64135950 has 48 divisors (see below), whose sum is σ = 161775360. Its totient is φ = 16810720.

The previous prime is 64135943. The next prime is 64135957. The reversal of 64135950 is 5953146.

It is a happy number.

64135950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64135943) and next prime (64135957).

It is a super-2 number, since 2×641359502 = 8226840164805000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64135957) 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 23 ways as a sum of consecutive naturals, for example, 5227 + ... + 12473.

It is an arithmetic number, because the mean of its divisors is an integer number (3370320).

Almost surely, 264135950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64135950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80887680).

64135950 is an abundant number, since it is smaller than the sum of its proper divisors (97639410).

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

64135950 is a wasteful number, since it uses less digits than its factorization.

64135950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7321 (or 7316 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 64135950 is about 8008.4923674809. The cubic root of 64135950 is about 400.2830288561.

The spelling of 64135950 in words is "sixty-four million, one hundred thirty-five thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 59 75 118 150 177 295 354 590 885 1475 1770 2950 4425 7247 8850 14494 21741 36235 43482 72470 108705 181175 217410 362350 427573 543525 855146 1087050 1282719 2137865 2565438 4275730 6413595 10689325 12827190 21378650 32067975 64135950