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690428672 = 281092227
BaseRepresentation
bin101001001001110…
…001101100000000
31210010011102002022
4221021301230000
52403222204142
6152302141012
723052355403
oct5111615400
91703142068
10690428672
1132480230a
12173281768
13b006a99b
14679a5d3a
15409316d2
hex29271b00

690428672 has 54 divisors (see below), whose sum is σ = 1397047428. Its totient is φ = 340540416.

The previous prime is 690428653. The next prime is 690428677. The reversal of 690428672 is 276824096.

It is a super-2 number, since 2×6904286722 = 953383502239367168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (690428677) 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 5 ways as a sum of consecutive naturals, for example, 3041423 + ... + 3041649.

Almost surely, 2690428672 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 690428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698523714).

690428672 is an abundant number, since it is smaller than the sum of its proper divisors (706618756).

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

690428672 is an equidigital number, since it uses as much as digits as its factorization.

690428672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 338 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 44.

The square root of 690428672 is about 26276.0094382690. The cubic root of 690428672 is about 883.8385487585.

The spelling of 690428672 in words is "six hundred ninety million, four hundred twenty-eight thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 109 128 218 227 256 436 454 872 908 1744 1816 3488 3632 6976 7264 11881 13952 14528 23762 24743 27904 29056 47524 49486 58112 95048 98972 190096 197944 380192 395888 760384 791776 1520768 1583552 2696987 3041536 3167104 5393974 6334208 10787948 21575896 43151792 86303584 172607168 345214336 690428672