Search a number
-
+
8301942 = 23211231823
BaseRepresentation
bin11111101010110101110110
3120121210010100
4133222311312
54111130232
6453534530
7130364625
oct37526566
916553110
108301942
114760410
122944446
1319489bc
1411616bc
15adec7c
hex7ead76

8301942 has 48 divisors (see below), whose sum is σ = 20487168. Its totient is φ = 2405040.

The previous prime is 8301911. The next prime is 8301947. The reversal of 8301942 is 2491038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8301947) 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, 3643 + ... + 5465.

It is an arithmetic number, because the mean of its divisors is an integer number (426816).

Almost surely, 28301942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8301942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10243584).

8301942 is an abundant number, since it is smaller than the sum of its proper divisors (12185226).

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

8301942 is a wasteful number, since it uses less digits than its factorization.

8301942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1865 (or 1862 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 8301942 is about 2881.3090774854. The cubic root of 8301942 is about 202.4851749549.

It can be divided in two parts, 830 and 1942, that added together give a palindrome (2772).

The spelling of 8301942 in words is "eight million, three hundred one thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 414 506 759 1518 1823 2277 3646 4554 5469 10938 16407 20053 32814 40106 41929 60159 83858 120318 125787 180477 251574 360954 377361 461219 754722 922438 1383657 2767314 4150971 8301942