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3829842 = 23447503
BaseRepresentation
bin1110100111000001010010
321012120120000
432213001102
51440023332
6214030430
744360502
oct16470122
97176500
103829842
112186465
121348416
13a412a3
14719a02
15509b7c
hex3a7052

3829842 has 40 divisors (see below), whose sum is σ = 8781696. Its totient is φ = 1246968.

The previous prime is 3829831. The next prime is 3829843. The reversal of 3829842 is 2489283.

It is a junction number, because it is equal to n+sod(n) for n = 3829797 and 3829806.

It is not an unprimeable number, because it can be changed into a prime (3829843) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7363 + ... + 7865.

Almost surely, 23829842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3829842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390848).

3829842 is an abundant number, since it is smaller than the sum of its proper divisors (4951854).

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

3829842 is a wasteful number, since it uses less digits than its factorization.

3829842 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 555 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 3829842 is about 1956.9982115475. The cubic root of 3829842 is about 156.4565030679.

The spelling of 3829842 in words is "three million, eight hundred twenty-nine thousand, eight hundred forty-two".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 282 423 503 846 1006 1269 1509 2538 3018 3807 4527 7614 9054 13581 23641 27162 40743 47282 70923 81486 141846 212769 425538 638307 1276614 1914921 3829842