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1382873856 = 28371347421
BaseRepresentation
bin101001001101100…
…1111101100000000
310120101010021022020
41102123033230000
510313003430411
6345115441440
746161143130
oct12233175400
93511107266
101382873856
1164a661661
12327156280
13190663470
14d1934ac0
1581610606
hex526cfb00

1382873856 has 288 divisors, whose sum is σ = 4637165568. Its totient is φ = 356106240.

The previous prime is 1382873819. The next prime is 1382873867. The reversal of 1382873856 is 6583782831.

It is a junction number, because it is equal to n+sod(n) for n = 1382873799 and 1382873808.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3284526 + ... + 3284946.

Almost surely, 21382873856 is an apocalyptic number.

1382873856 is a gapful number since it is divisible by the number (16) 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 1382873856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2318582784).

1382873856 is an abundant number, since it is smaller than the sum of its proper divisors (3254291712).

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

1382873856 is a wasteful number, since it uses less digits than its factorization.

1382873856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 493 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 51.

The square root of 1382873856 is about 37187.0119262089. The cubic root of 1382873856 is about 1114.1085882071.

The spelling of 1382873856 in words is "one billion, three hundred eighty-two million, eight hundred seventy-three thousand, eight hundred fifty-six".