Search a number
-
+
292935042 = 2354391373
BaseRepresentation
bin10001011101011…
…101010110000010
3202102012122100000
4101131131112002
51044442410132
645022340430
710154623011
oct2135352602
9672178300
10292935042
11140399484
128212a716
13488c615a
142ac94a78
151aab587c
hex1175d582

292935042 has 48 divisors (see below), whose sum is σ = 660179520. Its totient is φ = 97351632.

The previous prime is 292935029. The next prime is 292935091. The reversal of 292935042 is 240539292.

It is a junction number, because it is equal to n+sod(n) for n = 292934988 and 292935006.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212668 + ... + 214040.

It is an arithmetic number, because the mean of its divisors is an integer number (13753740).

Almost surely, 2292935042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 292935042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330089760).

292935042 is an abundant number, since it is smaller than the sum of its proper divisors (367244478).

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

292935042 is a wasteful number, since it uses less digits than its factorization.

292935042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1829 (or 1817 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 292935042 is about 17115.3452200065. The cubic root of 292935042 is about 664.1361326946.

The spelling of 292935042 in words is "two hundred ninety-two million, nine hundred thirty-five thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 439 486 878 1317 1373 2634 2746 3951 4119 7902 8238 11853 12357 23706 24714 35559 37071 71118 74142 106677 111213 213354 222426 333639 602747 667278 1205494 1808241 3616482 5424723 10849446 16274169 32548338 48822507 97645014 146467521 292935042