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8202942 = 23211172437
BaseRepresentation
bin11111010010101010111110
3120102202022200
4133102222332
54044443232
6451452330
7126503166
oct37225276
916382280
108202942
1146a2aa0
1228b70a6
131912917
1411375a6
15ac077c
hex7d2abe

8202942 has 48 divisors (see below), whose sum is σ = 20537712. Its totient is φ = 2338560.

The previous prime is 8202919. The next prime is 8202949. The reversal of 8202942 is 2492028.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8202949) 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, 2148 + ... + 4584.

It is an arithmetic number, because the mean of its divisors is an integer number (427869).

Almost surely, 28202942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8202942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10268856).

8202942 is an abundant number, since it is smaller than the sum of its proper divisors (12334770).

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

8202942 is a wasteful number, since it uses less digits than its factorization.

8202942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2473 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 8202942 is about 2864.0778620701. The cubic root of 8202942 is about 201.6770810216.

The spelling of 8202942 in words is "eight million, two hundred two thousand, nine hundred forty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 561 1122 1683 2437 3366 4874 7311 14622 21933 26807 41429 43866 53614 80421 82858 124287 160842 241263 248574 372861 455719 482526 745722 911438 1367157 2734314 4101471 8202942