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64240050 = 23527193317
BaseRepresentation
bin1111010100001…
…1100110110010
311110212201210010
43311003212302
5112421140200
610212515350
71410013530
oct365034662
9143781703
1064240050
1133297556
121961bb56
1310402b84
148763150
15598e150
hex3d439b2

64240050 has 96 divisors (see below), whose sum is σ = 183595392. Its totient is φ = 14561280.

The previous prime is 64240049. The next prime is 64240051. The reversal of 64240050 is 5004246.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (64240049) and next prime (64240051).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 64239999 and 64240026.

It is not an unprimeable number, because it can be changed into a prime (64240051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 202492 + ... + 202808.

It is an arithmetic number, because the mean of its divisors is an integer number (1912452).

Almost surely, 264240050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64240050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91797696).

64240050 is an abundant number, since it is smaller than the sum of its proper divisors (119355342).

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

64240050 is a wasteful number, since it uses less digits than its factorization.

64240050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 64240050 is about 8014.9890829620. The cubic root of 64240050 is about 400.4994802059.

Adding to 64240050 its reverse (5004246), we get a palindrome (69244296).

The spelling of 64240050 in words is "sixty-four million, two hundred forty thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 193 210 317 350 386 525 579 634 951 965 1050 1158 1351 1585 1902 1930 2219 2702 2895 3170 4053 4438 4755 4825 5790 6657 6755 7925 8106 9510 9650 11095 13314 13510 14475 15850 20265 22190 23775 28950 33285 33775 40530 47550 55475 61181 66570 67550 101325 110950 122362 166425 183543 202650 305905 332850 367086 428267 611810 856534 917715 1284801 1529525 1835430 2141335 2569602 3059050 4282670 4588575 6424005 9177150 10706675 12848010 21413350 32120025 64240050