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3822864 = 243731091
BaseRepresentation
bin1110100101010100010000
321012012222120
432211110100
51434312424
6213534240
744331243
oct16452420
97165876
103822864
1121811a1
121344380
13a3b066
1471725a
15507a79
hex3a5510

3822864 has 40 divisors (see below), whose sum is σ = 10020192. Its totient is φ = 1255680.

The previous prime is 3822851. The next prime is 3822869. The reversal of 3822864 is 4682283.

It is a super-2 number, since 2×38228642 = 29228578324992, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3822869) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2959 + ... + 4049.

Almost surely, 23822864 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 3822864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5010096).

3822864 is an abundant number, since it is smaller than the sum of its proper divisors (6197328).

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

3822864 is a wasteful number, since it uses less digits than its factorization.

3822864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1175 (or 1169 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 3822864 is about 1955.2145662305. The cubic root of 3822864 is about 156.3614236703.

The spelling of 3822864 in words is "three million, eight hundred twenty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 73 146 219 292 438 584 876 1091 1168 1752 2182 3273 3504 4364 6546 8728 13092 17456 26184 52368 79643 159286 238929 318572 477858 637144 955716 1274288 1911432 3822864