5142956 has 48 divisors (see below), whose sum is σ = 11289600. Its totient is φ = 1995840.

The previous prime is 5142953. The next prime is 5142967. The reversal of 5142956 is 6592415.

5142956 = T₁₉₅ + T₁₉₆ + ... + T₃₃₆.

It is a happy number.

It is a super-3 number, since 3×5142956³ (a number of 21 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5142953) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 25745 + ... + 25943.

It is an arithmetic number, because the mean of its divisors is an integer number (235200).

Almost surely, 2^5142956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5142956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5644800).

5142956 is an abundant number, since it is smaller than the sum of its proper divisors (6146644).

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

5142956 is a wasteful number, since it uses less digits than its factorization.

5142956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 292 counting only the distinct ones).

The product of its digits is 10800, while the sum is 32.

The square root of 5142956 is about 2267.8086339019. The cubic root of 5142956 is about 172.6119807805.

The spelling of 5142956 in words is "five million, one hundred forty-two thousand, nine hundred fifty-six".