42796100 has 54 divisors (see below), whose sum is σ = 97200810. Its totient is φ = 16353920.

The previous prime is 42796093. The next prime is 42796121. The reversal of 42796100 is 169724.

It can be written as a sum of positive squares in 3 ways, for example, as 8667136 + 34128964 = 2944^2 + 5842^2 .

It is a hoax number, since the sum of its digits (29) coincides with the sum of the digits of its distinct prime factors.

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, 52496 + ... + 53304.

It is an arithmetic number, because the mean of its divisors is an integer number (1800015).

Almost surely, 2^42796100 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 42796100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48600405).

42796100 is an abundant number, since it is smaller than the sum of its proper divisors (54404710).

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

42796100 is a wasteful number, since it uses less digits than its factorization.

42796100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 869 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 42796100 is about 6541.8728205308. The cubic root of 42796100 is about 349.7851742920.

The spelling of 42796100 in words is "forty-two million, seven hundred ninety-six thousand, one hundred".