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964828469 = 11231257219
BaseRepresentation
bin111001100000100…
…001110100110101
32111020111100211202
4321200201310311
53433444002334
6235423342245
732623622663
oct7140416465
92436440752
10964828469
11455690a00
1222b151985
13124b74327
14921d3c33
1559a8517e
hex39821d35

964828469 has 12 divisors (see below), whose sum is σ = 1094728320. Its totient is φ = 848819400.

The previous prime is 964828427. The next prime is 964828471.

964828469 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 964828469 - 228 = 696393013 is a prime.

It is a super-3 number, since 3×9648284693 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (964828409) 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, 124859 + ... + 132360.

It is an arithmetic number, because the mean of its divisors is an integer number (91227360).

Almost surely, 2964828469 is an apocalyptic number.

It is an amenable number.

964828469 is a deficient number, since it is larger than the sum of its proper divisors (129899851).

964828469 is a wasteful number, since it uses less digits than its factorization.

964828469 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257272 (or 257261 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 56.

The square root of 964828469 is about 31061.6881221868. The cubic root of 964828469 is about 988.1359574713.

The spelling of 964828469 in words is "nine hundred sixty-four million, eight hundred twenty-eight thousand, four hundred sixty-nine".

Divisors: 1 11 31 121 341 3751 257219 2829409 7973789 31123499 87711679 964828469