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1838193856 = 26233140283
BaseRepresentation
bin110110110010000…
…1001110011000000
311202002212220220221
41231210021303000
512231034200411
6502222512424
763360250522
oct15544116300
94662786827
101838193856
11863681284
12433735714
13233aa3795
141361b9a12
15ab5a0071
hex6d909cc0

1838193856 has 56 divisors (see below), whose sum is σ = 3929140224. Its totient is φ = 850755840.

The previous prime is 1838193823. The next prime is 1838193899. The reversal of 1838193856 is 6583918381.

It is a super-2 number, since 2×18381938562 = 6757913304472297472, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25491 + ... + 65773.

Almost surely, 21838193856 is an apocalyptic number.

1838193856 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 1838193856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1964570112).

1838193856 is an abundant number, since it is smaller than the sum of its proper divisors (2090946368).

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

1838193856 is a wasteful number, since it uses less digits than its factorization.

1838193856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40349 (or 40339 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 52.

The square root of 1838193856 is about 42874.1630355626. The cubic root of 1838193856 is about 1224.9840577684.

The spelling of 1838193856 in words is "one billion, eight hundred thirty-eight million, one hundred ninety-three thousand, eight hundred fifty-six".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 124 184 248 368 496 713 736 992 1426 1472 1984 2852 5704 11408 22816 40283 45632 80566 161132 322264 644528 926509 1248773 1289056 1853018 2497546 2578112 3706036 4995092 7412072 9990184 14824144 19980368 28721779 29648288 39960736 57443558 59296576 79921472 114887116 229774232 459548464 919096928 1838193856