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29801937 = 31121929149
BaseRepresentation
bin111000110101…
…1110111010001
32002002002120110
41301223313101
530112130222
62542431533
7511212054
oct161536721
962062513
1029801937
1115905700
129b925a9
136235aa9
143d5aa9b
15293a30c
hex1c6bdd1

29801937 has 48 divisors (see below), whose sum is σ = 47880000. Its totient is φ = 16410240.

The previous prime is 29801929. The next prime is 29801971. The reversal of 29801937 is 73910892.

It is not a de Polignac number, because 29801937 - 23 = 29801929 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 29801895 and 29801904.

It is not an unprimeable number, because it can be changed into a prime (29801927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199939 + ... + 200087.

It is an arithmetic number, because the mean of its divisors is an integer number (997500).

Almost surely, 229801937 is an apocalyptic number.

It is an amenable number.

29801937 is a deficient number, since it is larger than the sum of its proper divisors (18078063).

29801937 is a wasteful number, since it uses less digits than its factorization.

29801937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 39.

The square root of 29801937 is about 5459.1150381724. The cubic root of 29801937 is about 310.0379315361.

The spelling of 29801937 in words is "twenty-nine million, eight hundred one thousand, nine hundred thirty-seven".

Divisors: 1 3 11 19 29 33 57 87 121 149 209 319 363 447 551 627 957 1639 1653 2299 2831 3509 4321 4917 6061 6897 8493 10527 12963 18029 18183 31141 47531 54087 66671 82099 93423 142593 200013 246297 342551 522841 903089 1027653 1568523 2709267 9933979 29801937