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29705892 = 223191131153
BaseRepresentation
bin111000101010…
…0011010100100
32001220012211020
41301110122210
530101042032
62540411140
7510332046
oct161243244
961805736
1029705892
111584a527
129b46ab0
136201168
143d33a96
15291bb2c
hex1c546a4

29705892 has 48 divisors (see below), whose sum is σ = 73671360. Its totient is φ = 9289728.

The previous prime is 29705887. The next prime is 29705899. The reversal of 29705892 is 29850792.

It is not an unprimeable number, because it can be changed into a prime (29705899) 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 15 ways as a sum of consecutive naturals, for example, 25188 + ... + 26340.

It is an arithmetic number, because the mean of its divisors is an integer number (1534820).

Almost surely, 229705892 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 29705892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36835680).

29705892 is an abundant number, since it is smaller than the sum of its proper divisors (43965468).

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

29705892 is a wasteful number, since it uses less digits than its factorization.

29705892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1292 (or 1290 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The square root of 29705892 is about 5450.3111837766. The cubic root of 29705892 is about 309.7045120520.

The spelling of 29705892 in words is "twenty-nine million, seven hundred five thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 113 114 226 228 339 452 678 1153 1356 2147 2306 3459 4294 4612 6441 6918 8588 12882 13836 21907 25764 43814 65721 87628 130289 131442 260578 262884 390867 521156 781734 1563468 2475491 4950982 7426473 9901964 14852946 29705892