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29463993 = 36133109
BaseRepresentation
bin111000001100…
…1010110111001
32001102221000000
41300121112321
530020321433
62531303213
7505303566
oct160312671
961387000
1029463993
11156a4809
129a4ab09
136148020
143cad86d
1528c0113
hex1c195b9

29463993 has 28 divisors (see below), whose sum is σ = 47589220. Its totient is φ = 18125856.

The previous prime is 29463991. The next prime is 29463997. The reversal of 29463993 is 39936492.

29463993 is a `hidden beast` number, since 2 + 9 + 4 + 639 + 9 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4782969 + 24681024 = 2187^2 + 4968^2 .

It is not a de Polignac number, because 29463993 - 21 = 29463991 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29463991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 7923 + ... + 11031.

It is an arithmetic number, because the mean of its divisors is an integer number (1699615).

Almost surely, 229463993 is an apocalyptic number.

It is an amenable number.

29463993 is a deficient number, since it is larger than the sum of its proper divisors (18125227).

29463993 is an equidigital number, since it uses as much as digits as its factorization.

29463993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3140 (or 3125 counting only the distinct ones).

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

The square root of 29463993 is about 5428.0745204907. The cubic root of 29463993 is about 308.8615649095.

The spelling of 29463993 in words is "twenty-nine million, four hundred sixty-three thousand, nine hundred ninety-three".

Divisors: 1 3 9 13 27 39 81 117 243 351 729 1053 3109 3159 9327 9477 27981 40417 83943 121251 251829 363753 755487 1091259 2266461 3273777 9821331 29463993