7829442 has 36 divisors (see below), whose sum is σ = 17547894. Its totient is φ = 2521440.

The previous prime is 7829429. The next prime is 7829467. The reversal of 7829442 is 2449287.

It can be written as a sum of positive squares in only one way, i.e., 7733961 + 95481 = 2781^2 + 309^2 .

It is a super-2 number, since 2×7829442² = 122600324062728, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7829397 and 7829406.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 75963 + ... + 76065.

Almost surely, 2^7829442 is an apocalyptic number.

7829442 is an abundant number, since it is smaller than the sum of its proper divisors (9718452).

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

7829442 is a wasteful number, since it uses less digits than its factorization.

7829442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 149 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 7829442 is about 2798.1140076845. The cubic root of 7829442 is about 198.5684612647.

The spelling of 7829442 in words is "seven million, eight hundred twenty-nine thousand, four hundred forty-two".