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3800000040 = 233540517817
BaseRepresentation
bin1110001001111111…
…0110011000101000
3100210211101000002020
43202133312120220
530240300000130
61425023104440
7163111316214
oct34237663050
910724330066
103800000040
111680001301
128a0742120
13487367445
14280971944
1517391ae10
hexe27f6628

3800000040 has 64 divisors (see below), whose sum is σ = 11404272960. Its totient is φ = 1012953600.

The previous prime is 3800000003. The next prime is 3800000041. The reversal of 3800000040 is 400000083.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 3799999965 and 3800000019.

It is not an unprimeable number, because it can be changed into a prime (3800000041) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 482212 + ... + 490028.

It is an arithmetic number, because the mean of its divisors is an integer number (178191765).

Almost surely, 23800000040 is an apocalyptic number.

3800000040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3800000040 is an abundant number, since it is smaller than the sum of its proper divisors (7604272920).

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

3800000040 is a wasteful number, since it uses less digits than its factorization.

3800000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11882 (or 11878 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3800000040 is about 61644.1403541326. The cubic root of 3800000040 is about 1560.4907561833.

The spelling of 3800000040 in words is "three billion, eight hundred million, forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 4051 7817 8102 12153 15634 16204 20255 23451 24306 31268 32408 39085 40510 46902 48612 60765 62536 78170 81020 93804 97224 117255 121530 156340 162040 187608 234510 243060 312680 469020 486120 938040 31666667 63333334 95000001 126666668 158333335 190000002 253333336 316666670 380000004 475000005 633333340 760000008 950000010 1266666680 1900000020 3800000040