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29242530 = 23251013217
BaseRepresentation
bin110111110001…
…1010010100010
32001000200012200
41233203102202
524441230110
62522434030
7503362122
oct157432242
961020180
1029242530
1115563389
129962916
13609b295
143c52c82
1528796c0
hex1be34a2

29242530 has 48 divisors (see below), whose sum is σ = 76807224. Its totient is φ = 7718400.

The previous prime is 29242529. The next prime is 29242531. The reversal of 29242530 is 3524292.

29242530 is a `hidden beast` number, since 2 + 92 + 42 + 530 = 666.

It is an interprime number because it is at equal distance from previous prime (29242529) and next prime (29242531).

It can be written as a sum of positive squares in 4 ways, for example, as 29127609 + 114921 = 5397^2 + 339^2 .

It is a junction number, because it is equal to n+sod(n) for n = 29242494 and 29242503.

It is not an unprimeable number, because it can be changed into a prime (29242531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7482 + ... + 10698.

Almost surely, 229242530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29242530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38403612).

29242530 is an abundant number, since it is smaller than the sum of its proper divisors (47564694).

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

29242530 is a wasteful number, since it uses less digits than its factorization.

29242530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 29242530 is about 5407.6362673538. The cubic root of 29242530 is about 308.0857761321.

The spelling of 29242530 in words is "twenty-nine million, two hundred forty-two thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 101 202 303 505 606 909 1010 1515 1818 3030 3217 4545 6434 9090 9651 16085 19302 28953 32170 48255 57906 96510 144765 289530 324917 649834 974751 1624585 1949502 2924253 3249170 4873755 5848506 9747510 14621265 29242530