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3829112 = 237101677
BaseRepresentation
bin1110100110110101111000
321012112112222
432212311320
51440012422
6214023212
744355410
oct16466570
97175488
103829112
112185961
121347b08
13a40b61
14719640
15509842
hex3a6d78

3829112 has 32 divisors (see below), whose sum is σ = 8298720. Its totient is φ = 1622400.

The previous prime is 3829103. The next prime is 3829121. The reversal of 3829112 is 2119283.

It is an interprime number because it is at equal distance from previous prime (3829103) and next prime (3829121).

It is a d-powerful number, because it can be written as 313 + 87 + 2 + 94 + 1 + 1 + 217 .

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 5318 + ... + 5994.

It is an arithmetic number, because the mean of its divisors is an integer number (259335).

Almost surely, 23829112 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 3829112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4149360).

3829112 is an abundant number, since it is smaller than the sum of its proper divisors (4469608).

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

3829112 is a wasteful number, since it uses less digits than its factorization.

3829112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 787 counting only the distinct ones).

The product of its digits is 864, while the sum is 26.

The square root of 3829112 is about 1956.8116925243. The cubic root of 3829112 is about 156.4465617958.

The spelling of 3829112 in words is "three million, eight hundred twenty-nine thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 56 101 202 404 677 707 808 1354 1414 2708 2828 4739 5416 5656 9478 18956 37912 68377 136754 273508 478639 547016 957278 1914556 3829112