Search a number
-
+
64959264 = 2532474799
BaseRepresentation
bin1111011111001…
…1001100100000
311112020021100200
43313303030200
5113112144024
610240145200
71416100416
oct367631440
9145207320
1064959264
1133738947
1219908200
13105c5346
1488ad2b6
155a822c9
hex3df3320

64959264 has 72 divisors (see below), whose sum is σ = 188697600. Its totient is φ = 21187968.

The previous prime is 64959263. The next prime is 64959277. The reversal of 64959264 is 46295946.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64959263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11137 + ... + 15935.

It is an arithmetic number, because the mean of its divisors is an integer number (2620800).

Almost surely, 264959264 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 64959264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94348800).

64959264 is an abundant number, since it is smaller than the sum of its proper divisors (123738336).

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

64959264 is a wasteful number, since it uses less digits than its factorization.

64959264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4862 (or 4851 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 64959264 is about 8059.7310128813. The cubic root of 64959264 is about 401.9885643142.

The spelling of 64959264 in words is "sixty-four million, nine hundred fifty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 4799 6768 9598 13536 14397 19196 28794 38392 43191 57588 76784 86382 115176 153568 172764 225553 230352 345528 451106 460704 676659 691056 902212 1353318 1382112 1804424 2029977 2706636 3608848 4059954 5413272 7217696 8119908 10826544 16239816 21653088 32479632 64959264