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29830032 = 243423017
BaseRepresentation
bin111000111001…
…0101110010000
32002010112010000
41301302232100
530114030112
62543210000
7511360011
oct161625620
962115100
1029830032
1115924821
129ba6900
13624580b
143d67008
1529437dc
hex1c72b90

29830032 has 50 divisors (see below), whose sum is σ = 86340518. Its totient is φ = 9942912.

The previous prime is 29830027. The next prime is 29830033. The reversal of 29830032 is 23003892.

It can be written as a sum of positive squares in only one way, i.e., 25765776 + 4064256 = 5076^2 + 2016^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 29829978 and 29830005.

It is not an unprimeable number, because it can be changed into a prime (29830033) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 10213 + ... + 12804.

Almost surely, 229830032 is an apocalyptic number.

It is an amenable number.

29830032 is an abundant number, since it is smaller than the sum of its proper divisors (56510486).

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

29830032 is a wasteful number, since it uses less digits than its factorization.

29830032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23037 (or 23022 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 29830032 is about 5461.6876512668. The cubic root of 29830032 is about 310.1353276653.

The spelling of 29830032 in words is "twenty-nine million, eight hundred thirty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 23017 46034 69051 92068 138102 184136 207153 276204 368272 414306 552408 621459 828612 1104816 1242918 1657224 1864377 2485836 3314448 3728754 4971672 7457508 9943344 14915016 29830032