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29988432 = 2432208253
BaseRepresentation
bin111001001100…
…1011001010000
32002102120101200
41302121121100
530134112212
62550431200
7512616555
oct162313120
962376350
1029988432
1115a22831
12a062500
13629c946
143da8a2c
1529756dc
hex1c99650

29988432 has 30 divisors (see below), whose sum is σ = 83926362. Its totient is φ = 9996096.

The previous prime is 29988419. The next prime is 29988433. The reversal of 29988432 is 23488992.

It can be written as a sum of positive squares in only one way, i.e., 18455616 + 11532816 = 4296^2 + 3396^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29988433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 103983 + ... + 104270.

Almost surely, 229988432 is an apocalyptic number.

It is an amenable number.

29988432 is an abundant number, since it is smaller than the sum of its proper divisors (53937930).

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

29988432 is a wasteful number, since it uses less digits than its factorization.

29988432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208267 (or 208258 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 29988432 is about 5476.1694641419. The cubic root of 29988432 is about 310.6833071657.

The spelling of 29988432 in words is "twenty-nine million, nine hundred eighty-eight thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 208253 416506 624759 833012 1249518 1666024 1874277 2499036 3332048 3748554 4998072 7497108 9996144 14994216 29988432