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764889632 = 251313713421
BaseRepresentation
bin101101100101110…
…100101000100000
31222022021102022122
4231211310220200
53031302432012
6203522123412
724645311633
oct5545645040
91868242278
10764889632
1136283a9a1
121941b0568
13c260bb20
1473829c1a
154723de72
hex2d974a20

764889632 has 48 divisors (see below), whose sum is σ = 1633672152. Its totient is φ = 350423040.

The previous prime is 764889611. The next prime is 764889637. The reversal of 764889632 is 236988467.

It can be written as a sum of positive squares in 4 ways, for example, as 709476496 + 55413136 = 26636^2 + 7444^2 .

It is a super-2 number, since 2×7648896322 = 1170112298282190848, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (764889637) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 50282 + ... + 63702.

Almost surely, 2764889632 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 764889632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (816836076).

764889632 is an abundant number, since it is smaller than the sum of its proper divisors (868782520).

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

764889632 is a wasteful number, since it uses less digits than its factorization.

764889632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13581 (or 13573 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 53.

The square root of 764889632 is about 27656.6381181806. The cubic root of 764889632 is about 914.5334426554.

The spelling of 764889632 in words is "seven hundred sixty-four million, eight hundred eighty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 137 208 274 416 548 1096 1781 2192 3562 4384 7124 13421 14248 26842 28496 53684 56992 107368 174473 214736 348946 429472 697892 1395784 1838677 2791568 3677354 5583136 7354708 14709416 23902801 29418832 47805602 58837664 95611204 191222408 382444816 764889632