Search a number
-
+
964520064 = 2732837257
BaseRepresentation
bin111001011111010…
…110100010000000
32111012220200210100
4321133112202000
53433404120224
6235413002400
732621166564
oct7137264200
92435820710
10964520064
114554a0222
1222b023400
13124a96b41
14921536a4
1559a23ac9
hex397d6880

964520064 has 48 divisors (see below), whose sum is σ = 2775510270. Its totient is φ = 321506304.

The previous prime is 964520059. The next prime is 964520093. The reversal of 964520064 is 460025469.

964520064 is a `hidden beast` number, since 9 + 645 + 2 + 0 + 0 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 864360000 + 100160064 = 29400^2 + 10008^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 417477 + ... + 419780.

Almost surely, 2964520064 is an apocalyptic number.

It is an amenable number.

964520064 is an abundant number, since it is smaller than the sum of its proper divisors (1810990206).

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

964520064 is a wasteful number, since it uses less digits than its factorization.

964520064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 837277 (or 837262 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 964520064 is about 31056.7233300617. The cubic root of 964520064 is about 988.0306611912.

The spelling of 964520064 in words is "nine hundred sixty-four million, five hundred twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 837257 1674514 2511771 3349028 5023542 6698056 7535313 10047084 13396112 15070626 20094168 26792224 30141252 40188336 53584448 60282504 80376672 107168896 120565008 160753344 241130016 321506688 482260032 964520064