Search a number
-
+
64264002 = 23111098933
BaseRepresentation
bin1111010100100…
…1011101000010
311110220221122020
43311021131002
5112422422002
610213222310
71410143415
oct365113502
9143827566
1064264002
1133303550
1219631996
1310410a4a
14876bb7c
1559962bc
hex3d49742

64264002 has 32 divisors (see below), whose sum is σ = 141514560. Its totient is φ = 19293120.

The previous prime is 64263959. The next prime is 64264019. The reversal of 64264002 is 20046246.

64264002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2728 + ... + 11660.

It is an arithmetic number, because the mean of its divisors is an integer number (4422330).

Almost surely, 264264002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64264002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70757280).

64264002 is an abundant number, since it is smaller than the sum of its proper divisors (77250558).

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

64264002 is a wasteful number, since it uses less digits than its factorization.

64264002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9058.

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 64264002 is about 8016.4831441225. The cubic root of 64264002 is about 400.5492496336.

The spelling of 64264002 in words is "sixty-four million, two hundred sixty-four thousand, two".

Divisors: 1 2 3 6 11 22 33 66 109 218 327 654 1199 2398 3597 7194 8933 17866 26799 53598 98263 196526 294789 589578 973697 1947394 2921091 5842182 10710667 21421334 32132001 64264002