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66500464 = 24171092243
BaseRepresentation
bin1111110110101…
…1011101110000
311122010120111011
43331223131300
5114011003324
610333200304
71435146622
oct375533560
9148116434
1066500464
11345a0868
121a330094
1310a149b4
148b90c12
155c88c94
hex3f6b770

66500464 has 40 divisors (see below), whose sum is σ = 137736720. Its totient is φ = 30993408.

The previous prime is 66500443. The next prime is 66500471. The reversal of 66500464 is 46400566.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28527 + ... + 30769.

It is an arithmetic number, because the mean of its divisors is an integer number (3443418).

Almost surely, 266500464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66500464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68868360).

66500464 is an abundant number, since it is smaller than the sum of its proper divisors (71236256).

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

66500464 is a wasteful number, since it uses less digits than its factorization.

66500464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2377 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

The square root of 66500464 is about 8154.7816647658. The cubic root of 66500464 is about 405.1428932350.

The spelling of 66500464 in words is "sixty-six million, five hundred thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 17 34 68 109 136 218 272 436 872 1744 1853 2243 3706 4486 7412 8972 14824 17944 29648 35888 38131 76262 152524 244487 305048 488974 610096 977948 1955896 3911792 4156279 8312558 16625116 33250232 66500464