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2939742 = 2321317739
BaseRepresentation
bin1011001101101101011110
312112100120100
423031231132
51223032432
6143001530
733662451
oct13155536
95470510
102939742
111728743
12b992a6
137bc0c0
14567498
153d107c
hex2cdb5e

2939742 has 48 divisors (see below), whose sum is σ = 7272720. Its totient is φ = 850176.

The previous prime is 2939707. The next prime is 2939747. The reversal of 2939742 is 2479392.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 2939697 and 2939706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2939747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3609 + ... + 4347.

It is an arithmetic number, because the mean of its divisors is an integer number (151515).

22939742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2939742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3636360).

2939742 is an abundant number, since it is smaller than the sum of its proper divisors (4332978).

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

2939742 is a wasteful number, since it uses less digits than its factorization.

2939742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 777 (or 774 counting only the distinct ones).

The product of its digits is 27216, while the sum is 36.

The square root of 2939742 is about 1714.5675839698. The cubic root of 2939742 is about 143.2527845004.

The spelling of 2939742 in words is "two million, nine hundred thirty-nine thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 739 1326 1478 1989 2217 3978 4434 6651 9607 12563 13302 19214 25126 28821 37689 57642 75378 86463 113067 163319 172926 226134 326638 489957 979914 1469871 2939742