Search a number
-
+
2948382 = 2321937233
BaseRepresentation
bin1011001111110100011110
312112210102100
423033310132
51223322012
6143105530
734026603
oct13176436
95483370
102948382
111734188
12ba22a6
137c3008
1456a6aa
153d38dc
hex2cfd1e

2948382 has 48 divisors (see below), whose sum is σ = 6935760. Its totient is φ = 902016.

The previous prime is 2948369. The next prime is 2948389. The reversal of 2948382 is 2838492.

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2948389) 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, 12538 + ... + 12770.

It is an arithmetic number, because the mean of its divisors is an integer number (144495).

22948382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2948382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467880).

2948382 is an abundant number, since it is smaller than the sum of its proper divisors (3987378).

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

2948382 is a wasteful number, since it uses less digits than its factorization.

2948382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 294 counting only the distinct ones).

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

The square root of 2948382 is about 1717.0853211183. The cubic root of 2948382 is about 143.3929888089.

The spelling of 2948382 in words is "two million, nine hundred forty-eight thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 19 37 38 57 74 111 114 171 222 233 333 342 466 666 699 703 1398 1406 2097 2109 4194 4218 4427 6327 8621 8854 12654 13281 17242 25863 26562 39843 51726 77589 79686 155178 163799 327598 491397 982794 1474191 2948382