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1838968404 = 22371317235973
BaseRepresentation
bin110110110011100…
…0110111001010100
311202011100021101220
41231213012321110
512231233442104
6502251250340
763366654630
oct15547067124
94664307356
101838968404
118640601a9
12433a499b0
13233cb51b0
1413633bdc0
15ab6a47d9
hex6d9c6e54

1838968404 has 384 divisors, whose sum is σ = 6015098880. Its totient is φ = 423346176.

The previous prime is 1838968393. The next prime is 1838968423. The reversal of 1838968404 is 4048698381.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 25191312 + ... + 25191384.

It is an arithmetic number, because the mean of its divisors is an integer number (15664320).

Almost surely, 21838968404 is an apocalyptic number.

1838968404 is a gapful number since it is divisible by the number (14) 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 1838968404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3007549440).

1838968404 is an abundant number, since it is smaller than the sum of its proper divisors (4176130476).

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

1838968404 is a wasteful number, since it uses less digits than its factorization.

1838968404 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 197 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 51.

The square root of 1838968404 is about 42883.1948903064. The cubic root of 1838968404 is about 1225.1560881767.

The spelling of 1838968404 in words is "one billion, eight hundred thirty-eight million, nine hundred sixty-eight thousand, four hundred four".