42892520 has 64 divisors (see below), whose sum is σ = 106842240. Its totient is φ = 15366400.

The previous prime is 42892501. The next prime is 42892541. The reversal of 42892520 is 2529824.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30554 + ... + 31926.

It is an arithmetic number, because the mean of its divisors is an integer number (1669410).

Almost surely, 2^42892520 is an apocalyptic number.

42892520 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42892520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53421120).

42892520 is an abundant number, since it is smaller than the sum of its proper divisors (63949720).

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

42892520 is a wasteful number, since it uses less digits than its factorization.

42892520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1466 (or 1462 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 42892520 is about 6549.2381236293. The cubic root of 42892520 is about 350.0476669773.

The spelling of 42892520 in words is "forty-two million, eight hundred ninety-two thousand, five hundred twenty".