29956542 has 96 divisors (see below), whose sum is σ = 77811840. Its totient is φ = 7600320.

The previous prime is 29956529. The next prime is 29956547. The reversal of 29956542 is 24565992.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 29956494 and 29956503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29956547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190728 + ... + 190884.

It is an arithmetic number, because the mean of its divisors is an integer number (810540).

Almost surely, 2^29956542 is an apocalyptic number.

29956542 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 29956542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38905920).

29956542 is an abundant number, since it is smaller than the sum of its proper divisors (47855298).

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

29956542 is a wasteful number, since it uses less digits than its factorization.

29956542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246 (or 239 counting only the distinct ones).

The product of its digits is 194400, while the sum is 42.

The square root of 29956542 is about 5473.2569828211. The cubic root of 29956542 is about 310.5731401885.

The spelling of 29956542 in words is "twenty-nine million, nine hundred fifty-six thousand, five hundred forty-two".