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29085273 = 3272101653
BaseRepresentation
bin110111011110…
…0111001011001
32000201200111100
41232330321121
524421212043
62515222013
7502135500
oct156747131
960650440
1029085273
1115466218
1298a7909
136044829
143c11837
152847cd3
hex1bbce59

29085273 has 36 divisors (see below), whose sum is σ = 49430628. Its totient is φ = 16430400.

The previous prime is 29085253. The next prime is 29085281. The reversal of 29085273 is 37258092.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 18896409 + 10188864 = 4347^2 + 3192^2 .

It is not a de Polignac number, because 29085273 - 26 = 29085209 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29085253) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 44215 + ... + 44867.

It is an arithmetic number, because the mean of its divisors is an integer number (1373073).

Almost surely, 229085273 is an apocalyptic number.

It is an amenable number.

29085273 is a deficient number, since it is larger than the sum of its proper divisors (20345355).

29085273 is a wasteful number, since it uses less digits than its factorization.

29085273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 774 (or 764 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 29085273 is about 5393.0763947862. The cubic root of 29085273 is about 307.5325208516.

The spelling of 29085273 in words is "twenty-nine million, eighty-five thousand, two hundred seventy-three".

Divisors: 1 3 7 9 21 49 63 101 147 303 441 653 707 909 1959 2121 4571 4949 5877 6363 13713 14847 31997 41139 44541 65953 95991 197859 287973 461671 593577 1385013 3231697 4155039 9695091 29085273