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1382109888 = 26326832
BaseRepresentation
bin101001001100001…
…0101001011000000
310120022200110100010
41102120111023000
510312310004023
6345051224520
746151511615
oct12230251300
93508613303
101382109888
1164a18a685
12326a48140
13190456803
14d17b650c
158150e093
hex526152c0

1382109888 has 42 divisors (see below), whose sum is σ = 3658195884. Its totient is φ = 460531584.

The previous prime is 1382109887. The next prime is 1382109899. The reversal of 1382109888 is 8889012831.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1382109881) 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, 513795 + ... + 516477.

It is an arithmetic number, because the mean of its divisors is an integer number (87099902).

Almost surely, 21382109888 is an apocalyptic number.

It is an amenable number.

1382109888 is an abundant number, since it is smaller than the sum of its proper divisors (2276085996).

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

1382109888 is an frugal number, since it uses more digits than its factorization.

1382109888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5381 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 48.

The square root of 1382109888 is about 37176.7385336584. The cubic root of 1382109888 is about 1113.9033874959.

Multiplying 1382109888 by its sum of digits (48), we get a square (66341274624 = 2575682).

1382109888 divided by its sum of digits (48) gives a square (28793956 = 53662).

The spelling of 1382109888 in words is "one billion, three hundred eighty-two million, one hundred nine thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 2683 5366 8049 10732 16098 21464 32196 42928 64392 85856 128784 171712 257568 515136 7198489 14396978 21595467 28793956 43190934 57587912 86381868 115175824 172763736 230351648 345527472 460703296 691054944 1382109888