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1389523968 = 210327217181
BaseRepresentation
bin101001011010010…
…0111010000000000
310120211122010112200
41102310213100000
510321204231333
6345514153200
746301521200
oct12264472000
93524563480
101389523968
11653393a18
12329422800
13191b51341
14d2786400
1581ec5c13
hex52d27400

1389523968 has 396 divisors, whose sum is σ = 4969125252. Its totient is φ = 371589120.

The previous prime is 1389523957. The next prime is 1389523997. The reversal of 1389523968 is 8693259831.

It can be written as a sum of positive squares in 2 ways, for example, as 433972224 + 955551744 = 20832^2 + 30912^2 .

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 7676838 + ... + 7677018.

Almost surely, 21389523968 is an apocalyptic number.

1389523968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1389523968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2484562626).

1389523968 is an abundant number, since it is smaller than the sum of its proper divisors (3579601284).

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

1389523968 is a wasteful number, since it uses less digits than its factorization.

1389523968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 210 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 1389523968 is about 37276.3191315881. The cubic root of 1389523968 is about 1115.8916147101.

The spelling of 1389523968 in words is "one billion, three hundred eighty-nine million, five hundred twenty-three thousand, nine hundred sixty-eight".