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690547968 = 28321122477
BaseRepresentation
bin101001001010001…
…110110100000000
31210010101110201200
4221022032310000
52403240013333
6152304501200
723053363245
oct5112166400
91703343650
10690547968
11324883a00
1217331a800
13b00b0086
14679d75cc
1540956c13
hex2928ed00

690547968 has 162 divisors, whose sum is σ = 2189360082. Its totient is φ = 209172480.

The previous prime is 690547961. The next prime is 690547993. The reversal of 690547968 is 869745096.

690547968 is a `hidden beast` number, since 6 + 9 + 0 + 547 + 96 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 589906944 + 100641024 = 24288^2 + 10032^2 .

It is a super-2 number, since 2×6905479682 = 953712992217858048, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (690547961) by changing a digit.

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 17 ways as a sum of consecutive naturals, for example, 277546 + ... + 280022.

Almost surely, 2690547968 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 690547968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1094680041).

690547968 is an abundant number, since it is smaller than the sum of its proper divisors (1498812114).

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

690547968 is a wasteful number, since it uses less digits than its factorization.

690547968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2493 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The square root of 690547968 is about 26278.2793957291. The cubic root of 690547968 is about 883.8894506284.

The spelling of 690547968 in words is "six hundred ninety million, five hundred forty-seven thousand, nine hundred sixty-eight".