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29242116 = 2232812281
BaseRepresentation
bin110111110001…
…1001100000100
32001000122122100
41233203030010
524441221431
62522432100
7503360661
oct157431404
961018570
1029242116
1115563042
129962630
13609b037
143c52a68
1528794e6
hex1be3304

29242116 has 18 divisors (see below), whose sum is σ = 73917662. Its totient is φ = 9747360.

The previous prime is 29242079. The next prime is 29242117. The reversal of 29242116 is 61124292.

It can be written as a sum of positive squares in only one way, i.e., 27562500 + 1679616 = 5250^2 + 1296^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 29242116.

It is not an unprimeable number, because it can be changed into a prime (29242117) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 406105 + ... + 406176.

Almost surely, 229242116 is an apocalyptic number.

It is an amenable number.

29242116 is an abundant number, since it is smaller than the sum of its proper divisors (44675546).

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

29242116 is a wasteful number, since it uses less digits than its factorization.

29242116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812291 (or 812286 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 29242116 is about 5407.5979880165. The cubic root of 29242116 is about 308.0843222211.

The spelling of 29242116 in words is "twenty-nine million, two hundred forty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 812281 1624562 2436843 3249124 4873686 7310529 9747372 14621058 29242116