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689218504 = 23132612137
BaseRepresentation
bin101001000101001…
…010001111001000
31210000212221001021
4221011022033020
52402414443004
6152220202224
723036155252
oct5105121710
91700787037
10689218504
11324056077
12172999374
13aca35c00
146776ccd2
1540792d54
hex2914a3c8

689218504 has 72 divisors (see below), whose sum is σ = 1433038230. Its totient is φ = 310602240.

The previous prime is 689218501. The next prime is 689218531. The reversal of 689218504 is 405812986.

It is a happy number.

It can be written as a sum of positive squares in 9 ways, for example, as 193265604 + 495952900 = 13902^2 + 22270^2 .

It is not an unprimeable number, because it can be changed into a prime (689218501) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5030724 + ... + 5030860.

Almost surely, 2689218504 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 689218504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716519115).

689218504 is an abundant number, since it is smaller than the sum of its proper divisors (743819726).

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

689218504 is a wasteful number, since it uses less digits than its factorization.

689218504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 291 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The square root of 689218504 is about 26252.9713365935. The cubic root of 689218504 is about 883.3218559167.

The spelling of 689218504 in words is "six hundred eighty-nine million, two hundred eighteen thousand, five hundred four".

Divisors: 1 2 4 8 13 26 52 61 104 122 137 169 244 274 338 488 548 676 793 1096 1352 1586 1781 3172 3562 3721 6344 7124 7442 8357 10309 14248 14884 16714 20618 23153 29768 33428 41236 46306 48373 66856 82472 92612 96746 108641 185224 193492 217282 386984 434564 509777 628849 869128 1019554 1257698 1412333 2039108 2515396 2824666 4078216 5030792 5649332 6627101 11298664 13254202 26508404 53016808 86152313 172304626 344609252 689218504