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29939364 = 223271321937
BaseRepresentation
bin111001000110…
…1011010100100
32002100002002100
41302031122210
530131024424
62545412100
7512323530
oct162153244
962302070
1029939364
1115999984
12a03a030
136283500
143d94bc0
152965dc9
hex1c8d6a4

29939364 has 216 divisors, whose sum is σ = 101250240. Its totient is φ = 7278336.

The previous prime is 29939321. The next prime is 29939369. The reversal of 29939364 is 46393992.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (314928) is a multiple of the sum of its prime divisors (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29939369) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 809154 + ... + 809190.

Almost surely, 229939364 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 29939364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50625120).

29939364 is an abundant number, since it is smaller than the sum of its proper divisors (71310876).

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

29939364 is a wasteful number, since it uses less digits than its factorization.

29939364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 81 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 29939364 is about 5471.6874910762. The cubic root of 29939364 is about 310.5137647830.

It can be divided in two parts, 29939 and 364, that added together give a palindrome (30303).

The spelling of 29939364 in words is "twenty-nine million, nine hundred thirty-nine thousand, three hundred sixty-four".