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3828690 = 2325192239
BaseRepresentation
bin1110100110101111010010
321012111222100
432212233102
51440004230
6214021230
744354235
oct16465722
97174870
103828690
112185608
121347816
13a408c8
1471941c
15509660
hex3a6bd2

3828690 has 48 divisors (see below), whose sum is σ = 10483200. Its totient is φ = 966816.

The previous prime is 3828683. The next prime is 3828701. The reversal of 3828690 is 968283.

It is a super-2 number, since 2×38286902 = 29317734232200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 23 ways as a sum of consecutive naturals, for example, 591 + ... + 2829.

It is an arithmetic number, because the mean of its divisors is an integer number (218400).

Almost surely, 23828690 is an apocalyptic number.

3828690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3828690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5241600).

3828690 is an abundant number, since it is smaller than the sum of its proper divisors (6654510).

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

3828690 is a wasteful number, since it uses less digits than its factorization.

3828690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2271 (or 2268 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3828690 is about 1956.7038610888. The cubic root of 3828690 is about 156.4408143471.

The spelling of 3828690 in words is "three million, eight hundred twenty-eight thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 2239 4478 6717 11195 13434 20151 22390 33585 40302 42541 67170 85082 100755 127623 201510 212705 255246 382869 425410 638115 765738 1276230 1914345 3828690