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64974 = 23721317
BaseRepresentation
bin1111110111001110
310022010110
433313032
54034344
61220450
7360300
oct176716
9108113
1064974
11448a8
1231726
1323760
1419970
15143b9
hexfdce

64974 has 48 divisors (see below), whose sum is σ = 172368. Its totient is φ = 16128.

The previous prime is 64969. The next prime is 64997. The reversal of 64974 is 47946.

Its product of digits (6048) is a multiple of the sum of its prime divisors (42).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 64974.

It is an unprimeable number.

64974 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3814 + ... + 3830.

It is an arithmetic number, because the mean of its divisors is an integer number (3591).

264974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86184).

64974 is an abundant number, since it is smaller than the sum of its proper divisors (107394).

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

64974 is a wasteful number, since it uses less digits than its factorization.

64974 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49 (or 42 counting only the distinct ones).

The product of its digits is 6048, while the sum is 30.

The square root of 64974 is about 254.8999803845. The cubic root of 64974 is about 40.2018959033.

The spelling of 64974 in words is "sixty-four thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 49 51 78 91 98 102 119 147 182 221 238 273 294 357 442 546 637 663 714 833 1274 1326 1547 1666 1911 2499 3094 3822 4641 4998 9282 10829 21658 32487 64974