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689205348 = 22361318181
BaseRepresentation
bin101001000101000…
…111000001100100
31210000212021000000
4221011013001210
52402414032343
6152220021300
723036102016
oct5105070144
91700767000
10689205348
113240471a7
12172991830
13aca2cc20
14677681b6
154078ded3
hex29147064

689205348 has 84 divisors (see below), whose sum is σ = 1947546748. Its totient is φ = 212051520.

The previous prime is 689205331. The next prime is 689205353. The reversal of 689205348 is 843502986.

It can be written as a sum of positive squares in 2 ways, for example, as 403527744 + 285677604 = 20088^2 + 16902^2 .

It is a super-2 number, since 2×6892053482 = 950008023423602208, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 28818 + ... + 46998.

Almost surely, 2689205348 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 689205348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973773374).

689205348 is an abundant number, since it is smaller than the sum of its proper divisors (1258341400).

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

689205348 is a wasteful number, since it uses less digits than its factorization.

689205348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18216 (or 18199 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 689205348 is about 26252.7207732837. The cubic root of 689205348 is about 883.3162355142.

The spelling of 689205348 in words is "six hundred eighty-nine million, two hundred five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 243 324 351 468 486 702 729 972 1053 1404 1458 2106 2916 3159 4212 6318 9477 12636 18181 18954 36362 37908 54543 72724 109086 163629 218172 236353 327258 472706 490887 654516 709059 945412 981774 1418118 1472661 1963548 2127177 2836236 2945322 4254354 4417983 5890644 6381531 8508708 8835966 12763062 13253949 17671932 19144593 25526124 26507898 38289186 53015796 57433779 76578372 114867558 172301337 229735116 344602674 689205348