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29750112 = 253374919
BaseRepresentation
bin111000101111…
…1001101100000
32001222110111000
41301133031200
530104000422
62541352000
7510605010
oct161371540
961873430
1029750112
111587a777
129b68600
136218322
143d45c40
152929cac
hex1c5f360

29750112 has 96 divisors (see below), whose sum is σ = 99187200. Its totient is φ = 8498304.

The previous prime is 29750093. The next prime is 29750113. The reversal of 29750112 is 21105792.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29750113) 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 15 ways as a sum of consecutive naturals, for example, 3589 + ... + 8507.

It is an arithmetic number, because the mean of its divisors is an integer number (1033200).

Almost surely, 229750112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29750112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49593600).

29750112 is an abundant number, since it is smaller than the sum of its proper divisors (69437088).

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

29750112 is a wasteful number, since it uses less digits than its factorization.

29750112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4945 (or 4931 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 29750112 is about 5454.3663243314. The cubic root of 29750112 is about 309.8581105776.

The spelling of 29750112 in words is "twenty-nine million, seven hundred fifty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 4919 6048 9838 14757 19676 29514 34433 39352 44271 59028 68866 78704 88542 103299 118056 132813 137732 157408 177084 206598 236112 265626 275464 309897 354168 413196 472224 531252 550928 619794 708336 826392 929691 1062504 1101856 1239588 1416672 1652784 1859382 2125008 2479176 3305568 3718764 4250016 4958352 7437528 9916704 14875056 29750112