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2038685104 = 241919135111
BaseRepresentation
bin111100110000011…
…1101110110110000
312021002010221012201
41321200331312300
513133400410404
6534144032544
7101343352231
oct17140756660
95232127181
102038685104
1195686a325
1248a902754
132664a0561
14154a89088
15bdea4ca4
hex7983ddb0

2038685104 has 40 divisors (see below), whose sum is σ = 4179732480. Its totient is φ = 960609600.

The previous prime is 2038685041. The next prime is 2038685167. The reversal of 2038685104 is 4015868302.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2038685041) and next prime (2038685167).

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 7 ways as a sum of consecutive naturals, for example, 40509 + ... + 75619.

It is an arithmetic number, because the mean of its divisors is an integer number (104493312).

Almost surely, 22038685104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2038685104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2089866240).

2038685104 is an abundant number, since it is smaller than the sum of its proper divisors (2141047376).

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

2038685104 is a wasteful number, since it uses less digits than its factorization.

2038685104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35329 (or 35323 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 37.

The square root of 2038685104 is about 45151.8006728414. The cubic root of 2038685104 is about 1267.9925928442.

The spelling of 2038685104 in words is "two billion, thirty-eight million, six hundred eighty-five thousand, one hundred four".

Divisors: 1 2 4 8 16 19 38 76 152 191 304 382 764 1528 3056 3629 7258 14516 29032 35111 58064 70222 140444 280888 561776 667109 1334218 2668436 5336872 6706201 10673744 13412402 26824804 53649608 107299216 127417819 254835638 509671276 1019342552 2038685104