247505742 has 72 divisors (see below), whose sum is σ = 620572680. Its totient is φ = 71042400.

The previous prime is 247505717. The next prime is 247505759.

It is a happy number.

247505742 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×247505742² = 122518184645941128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 247505697 and 247505706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38392 + ... + 44372.

It is an arithmetic number, because the mean of its divisors is an integer number (8619065).

Almost surely, 2^247505742 is an apocalyptic number.

247505742 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 247505742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (310286340).

247505742 is an abundant number, since it is smaller than the sum of its proper divisors (373066938).

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

247505742 is a wasteful number, since it uses less digits than its factorization.

247505742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6030 (or 6016 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 247505742 is about 15732.3152142334. The cubic root of 247505742 is about 627.8584731857.

The spelling of 247505742 in words is "two hundred forty-seven million, five hundred five thousand, seven hundred forty-two".