29139642 has 64 divisors (see below), whose sum is σ = 74711040. Its totient is φ = 8246448.

The previous prime is 29139641. The next prime is 29139647. The reversal of 29139642 is 24693192.

29139642 is a `hidden beast` number, since 2 + 9 + 1 + 3 + 9 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 29139597 and 29139606.

It is not an unprimeable number, because it can be changed into a prime (29139641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47703 + ... + 48309.

It is an arithmetic number, because the mean of its divisors is an integer number (1167360).

Almost surely, 2^29139642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29139642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37355520).

29139642 is an abundant number, since it is smaller than the sum of its proper divisors (45571398).

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

29139642 is a wasteful number, since it uses less digits than its factorization.

29139642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 746 counting only the distinct ones).

The product of its digits is 23328, while the sum is 36.

The square root of 29139642 is about 5398.1146708828. The cubic root of 29139642 is about 307.7240247337.

The spelling of 29139642 in words is "twenty-nine million, one hundred thirty-nine thousand, six hundred forty-two".