Search a number
-
+
64961928 = 23321396491
BaseRepresentation
bin1111011111001…
…1110110001000
311112020102000100
43313303312020
5113112240203
610240205400
71416111243
oct367636610
9145212010
1064961928
113373a949
1219909860
13105c6615
1488b025a
155a82ea3
hex3df3d88

64961928 has 48 divisors (see below), whose sum is σ = 177231600. Its totient is φ = 21494880.

The previous prime is 64961881. The next prime is 64961977. The reversal of 64961928 is 82916946.

It is a happy number.

64961928 is a `hidden beast` number, since 6 + 4 + 9 + 619 + 28 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6763 + ... + 13253.

It is an arithmetic number, because the mean of its divisors is an integer number (3692325).

Almost surely, 264961928 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 64961928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88615800).

64961928 is an abundant number, since it is smaller than the sum of its proper divisors (112269672).

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

64961928 is a wasteful number, since it uses less digits than its factorization.

64961928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6642 (or 6635 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The square root of 64961928 is about 8059.8962772482. The cubic root of 64961928 is about 401.9940594652.

The spelling of 64961928 in words is "sixty-four million, nine hundred sixty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1112 1251 1668 2502 3336 5004 6491 10008 12982 19473 25964 38946 51928 58419 77892 116838 155784 233676 467352 902249 1804498 2706747 3608996 5413494 7217992 8120241 10826988 16240482 21653976 32480964 64961928