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763490064 = 243731091999
BaseRepresentation
bin101101100000011…
…110111100010000
31222012122022110210
4231200132330100
53030423140224
6203432124120
724630362361
oct5540367420
91865568423
10763490064
11361a74427
12193836640
13c223ba8c
1473583b68
1547064429
hex2d81ef10

763490064 has 80 divisors (see below), whose sum is σ = 2018720000. Its totient is φ = 248583168.

The previous prime is 763490029. The next prime is 763490093. The reversal of 763490064 is 460094367.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380937 + ... + 382935.

It is an arithmetic number, because the mean of its divisors is an integer number (25234000).

Almost surely, 2763490064 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 763490064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1009360000).

763490064 is an abundant number, since it is smaller than the sum of its proper divisors (1255229936).

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

763490064 is a wasteful number, since it uses less digits than its factorization.

763490064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2192 (or 2186 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 763490064 is about 27631.3239639363. The cubic root of 763490064 is about 913.9753084478.

The spelling of 763490064 in words is "seven hundred sixty-three million, four hundred ninety thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 109 146 218 219 292 327 436 438 584 654 872 876 1168 1308 1744 1752 1999 2616 3504 3998 5232 5997 7957 7996 11994 15914 15992 23871 23988 31828 31984 47742 47976 63656 95484 95952 127312 145927 190968 217891 291854 381936 435782 437781 583708 653673 871564 875562 1167416 1307346 1743128 1751124 2334832 2614692 3486256 3502248 5229384 7004496 10458768 15906043 31812086 47718129 63624172 95436258 127248344 190872516 254496688 381745032 763490064