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232716042 = 232132113677
BaseRepresentation
bin11011101111011…
…11011100001010
3121012220012101200
431313233130022
5434033403132
635031525030
75524024266
oct1567573412
9535805350
10232716042
1110a3a9009
1265b29776
13392a0600
1422c9b0a6
151566cd7c
hexddef70a

232716042 has 72 divisors (see below), whose sum is σ = 551633004. Its totient is φ = 70866432.

The previous prime is 232716023. The next prime is 232716049. The reversal of 232716042 is 240617232.

232716042 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 39200121 + 193515921 = 6261^2 + 13911^2 .

It is a junction number, because it is equal to n+sod(n) for n = 232715997 and 232716015.

It is not an unprimeable number, because it can be changed into a prime (232716049) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 343408 + ... + 344084.

Almost surely, 2232716042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 232716042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275816502).

232716042 is an abundant number, since it is smaller than the sum of its proper divisors (318916962).

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

232716042 is a wasteful number, since it uses less digits than its factorization.

232716042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 232716042 is about 15255.0333332969. The cubic root of 232716042 is about 615.0948733271.

The spelling of 232716042 in words is "two hundred thirty-two million, seven hundred sixteen thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 113 117 169 226 234 338 339 507 677 678 1014 1017 1354 1469 1521 2031 2034 2938 3042 4062 4407 6093 8801 8814 12186 13221 17602 19097 26403 26442 38194 52806 57291 76501 79209 114413 114582 153002 158418 171873 228826 229503 343239 343746 459006 686478 688509 994513 1029717 1377018 1989026 2059434 2983539 5967078 8950617 12928669 17901234 25857338 38786007 77572014 116358021 232716042