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3822876 = 22371923
BaseRepresentation
bin1110100101010100011100
321012020000000
432211110130
51434313001
6213534300
744331261
oct16452434
97166000
103822876
112181202
121344390
13a3b075
14717268
15507a86
hex3a551c

3822876 has 96 divisors (see below), whose sum is σ = 11020800. Its totient is φ = 1154736.

The previous prime is 3822869. The next prime is 3822883. The reversal of 3822876 is 6782283.

It is a happy number.

3822876 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3822869) and next prime (3822883).

It is a super-2 number, since 2×38228762 = 29228761822752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 313 + 82 + 216 + 216 + 87 + 72 + 63 .

It is a self number, because there is not a number n which added to its sum of digits gives 3822876.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 166201 + ... + 166223.

It is an arithmetic number, because the mean of its divisors is an integer number (114800).

Almost surely, 23822876 is an apocalyptic number.

3822876 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3822876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5510400).

3822876 is an abundant number, since it is smaller than the sum of its proper divisors (7197924).

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

3822876 is a wasteful number, since it uses less digits than its factorization.

3822876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67 (or 47 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 3822876 is about 1955.2176349450. The cubic root of 3822876 is about 156.3615872767.

The spelling of 3822876 in words is "three million, eight hundred twenty-two thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 23 27 36 38 46 54 57 69 76 81 92 108 114 138 162 171 207 228 243 276 324 342 414 437 486 513 621 684 729 828 874 972 1026 1242 1311 1458 1539 1748 1863 2052 2187 2484 2622 2916 3078 3726 3933 4374 4617 5244 5589 6156 7452 7866 8748 9234 11178 11799 13851 15732 16767 18468 22356 23598 27702 33534 35397 41553 47196 50301 55404 67068 70794 83106 100602 106191 141588 166212 201204 212382 318573 424764 637146 955719 1274292 1911438 3822876