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29057004 = 223219231847
BaseRepresentation
bin110111011010…
…1111111101100
32000200020201100
41232311333230
524414311004
62514443100
7501660204
oct156657754
960606640
1029057004
1115446a59
129893490
1360349c2
143c05404
15283e739
hex1bb5fec

29057004 has 72 divisors (see below), whose sum is σ = 80720640. Its totient is φ = 8772192.

The previous prime is 29056991. The next prime is 29057009. The reversal of 29057004 is 40075092.

29057004 is a `hidden beast` number, since 2 + 90 + 570 + 0 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (29057009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14809 + ... + 16655.

It is an arithmetic number, because the mean of its divisors is an integer number (1121120).

Almost surely, 229057004 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 29057004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40360320).

29057004 is an abundant number, since it is smaller than the sum of its proper divisors (51663636).

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

29057004 is a wasteful number, since it uses less digits than its factorization.

29057004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1899 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 29057004 is about 5390.4548973162. The cubic root of 29057004 is about 307.4328546631.

The spelling of 29057004 in words is "twenty-nine million, fifty-seven thousand, four".

Divisors: 1 2 3 4 6 9 12 18 19 23 36 38 46 57 69 76 92 114 138 171 207 228 276 342 414 437 684 828 874 1311 1748 1847 2622 3694 3933 5244 5541 7388 7866 11082 15732 16623 22164 33246 35093 42481 66492 70186 84962 105279 127443 140372 169924 210558 254886 315837 382329 421116 509772 631674 764658 807139 1263348 1529316 1614278 2421417 3228556 4842834 7264251 9685668 14528502 29057004