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29912064 = 2103713107
BaseRepresentation
bin111001000011…
…0110000000000
32002021200122020
41302012300000
530124141224
62545041440
7512151120
oct162066000
962250566
1029912064
1115980416
12a026280
136273c60
143d88c80
15295cc79
hex1c86c00

29912064 has 176 divisors, whose sum is σ = 99042048. Its totient is φ = 7815168.

The previous prime is 29912063. The next prime is 29912081. The reversal of 29912064 is 46021992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29912063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279499 + ... + 279605.

Almost surely, 229912064 is an apocalyptic number.

29912064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29912064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49521024).

29912064 is an abundant number, since it is smaller than the sum of its proper divisors (69129984).

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

29912064 is a wasteful number, since it uses less digits than its factorization.

29912064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 29912064 is about 5469.1922621170. The cubic root of 29912064 is about 310.4193561458.

The spelling of 29912064 in words is "twenty-nine million, nine hundred twelve thousand, sixty-four".