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1338852593 = 13853120737
BaseRepresentation
bin100111111001101…
…0100010011110001
310110022021202111002
41033303110103301
510220221240333
6340504131345
745115026221
oct11763242361
93408252432
101338852593
11627824851
12314466b55
131844bc490
14c9b56081
157c8170e8
hex4fcd44f1

1338852593 has 8 divisors (see below), whose sum is σ = 1443543528. Its totient is φ = 1234404864.

The previous prime is 1338852553. The next prime is 1338852611. The reversal of 1338852593 is 3952588331.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 41628304 + 1297224289 = 6452^2 + 36017^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1338852593 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1338852503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49280 + ... + 71457.

It is an arithmetic number, because the mean of its divisors is an integer number (180442941).

Almost surely, 21338852593 is an apocalyptic number.

1338852593 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1338852593 is a deficient number, since it is larger than the sum of its proper divisors (104690935).

1338852593 is a wasteful number, since it uses less digits than its factorization.

1338852593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121603.

The product of its digits is 777600, while the sum is 47.

The square root of 1338852593 is about 36590.3346937412. The cubic root of 1338852593 is about 1102.1590084267.

The spelling of 1338852593 in words is "one billion, three hundred thirty-eight million, eight hundred fifty-two thousand, five hundred ninety-three".

Divisors: 1 13 853 11089 120737 1569581 102988661 1338852593