Search a number
-
+
3826632 = 2331783113
BaseRepresentation
bin1110100110001111001000
321012102011010
432212033020
51434423012
6214003520
744345235
oct16461710
97172133
103826632
112184007
1213465a0
13a3c9a4
1471878c
15508c3c
hex3a63c8

3826632 has 64 divisors (see below), whose sum is σ = 10342080. Its totient is φ = 1175552.

The previous prime is 3826631. The next prime is 3826639. The reversal of 3826632 is 2366283.

3826632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×38266322 = 29286224926848, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3826632.

It is not an unprimeable number, because it can be changed into a prime (3826631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33808 + ... + 33920.

It is an arithmetic number, because the mean of its divisors is an integer number (161595).

Almost surely, 23826632 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 3826632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5171040).

3826632 is an abundant number, since it is smaller than the sum of its proper divisors (6515448).

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

3826632 is a wasteful number, since it uses less digits than its factorization.

3826632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 218 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 3826632 is about 1956.1779060198. The cubic root of 3826632 is about 156.4127792664.

The spelling of 3826632 in words is "three million, eight hundred twenty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 83 102 113 136 166 204 226 249 332 339 408 452 498 664 678 904 996 1356 1411 1921 1992 2712 2822 3842 4233 5644 5763 7684 8466 9379 11288 11526 15368 16932 18758 23052 28137 33864 37516 46104 56274 75032 112548 159443 225096 318886 478329 637772 956658 1275544 1913316 3826632