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29260728 = 2332758057
BaseRepresentation
bin110111110011…
…1101110111000
32001001121011200
41233213232320
524442320403
62523054200
7503466150
oct157475670
961047150
1029260728
1115576022
129971360
1360a6653
143c59760
15287eca3
hex1be7bb8

29260728 has 48 divisors (see below), whose sum is σ = 90570480. Its totient is φ = 8360064.

The previous prime is 29260697. The next prime is 29260783. The reversal of 29260728 is 82706292.

29260728 is a `hidden beast` number, since 29 + 2 + 607 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 29260692 and 29260701.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28525 + ... + 29532.

It is an arithmetic number, because the mean of its divisors is an integer number (1886885).

Almost surely, 229260728 is an apocalyptic number.

29260728 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29260728 is an abundant number, since it is smaller than the sum of its proper divisors (61309752).

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

29260728 is a wasteful number, since it uses less digits than its factorization.

29260728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58076 (or 58069 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 29260728 is about 5409.3186262227. The cubic root of 29260728 is about 308.1496714511.

The spelling of 29260728 in words is "twenty-nine million, two hundred sixty thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 58057 116114 174171 232228 348342 406399 464456 522513 696684 812798 1045026 1219197 1393368 1625596 2090052 2438394 3251192 3657591 4180104 4876788 7315182 9753576 14630364 29260728