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2838492 = 2232372131
BaseRepresentation
bin1010110100111111011100
312100012200100
422310333130
51211312432
6140501100
733061326
oct12647734
95305610
102838492
111669668
12b4a790
13784ca7
1453c616
153b107c
hex2b4fdc

2838492 has 36 divisors (see below), whose sum is σ = 7372456. Its totient is φ = 920160.

The previous prime is 2838487. The next prime is 2838547. The reversal of 2838492 is 2948382.

It is a tau number, because it is divible by the number of its divisors (36).

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 219 + 83 + 311 + 85 + 43 + 94 + 221 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 267 + ... + 2397.

22838492 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 2838492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686228).

2838492 is an abundant number, since it is smaller than the sum of its proper divisors (4533964).

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

2838492 is a wasteful number, since it uses less digits than its factorization.

2838492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2178 (or 2173 counting only the distinct ones).

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

The square root of 2838492 is about 1684.7824785414. The cubic root of 2838492 is about 141.5889055753.

The spelling of 2838492 in words is "two million, eight hundred thirty-eight thousand, four hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 2131 4262 6393 8524 12786 19179 25572 38358 76716 78847 157694 236541 315388 473082 709623 946164 1419246 2838492