826952742 has 96 divisors (see below), whose sum is σ = 2257242624. Its totient is φ = 212544000.

The previous prime is 826952689. The next prime is 826952767. The reversal of 826952742 is 247259628.

826952742 is a `hidden beast` number, since 82 + 6 + 9 + 527 + 42 = 666.

It is a super-4 number, since 4×826952742⁴ (a number of 37 digits) contains 4444 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131367 + ... + 137517.

It is an arithmetic number, because the mean of its divisors is an integer number (23512944).

Almost surely, 2^826952742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 826952742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1128621312).

826952742 is an abundant number, since it is smaller than the sum of its proper divisors (1430289882).

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

826952742 is a wasteful number, since it uses less digits than its factorization.

826952742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6274 (or 6271 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 826952742 is about 28756.7860165214. The cubic root of 826952742 is about 938.6281263152.

The spelling of 826952742 in words is "eight hundred twenty-six million, nine hundred fifty-two thousand, seven hundred forty-two".