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29938610 = 2513412137
BaseRepresentation
bin111001000110…
…1001110110010
32002100001001102
41302031032302
530131013420
62545404402
7512321402
oct162151662
962301042
1029938610
1115999359
12a039702
136283070
143d94802
152965a75
hex1c8d3b2

29938610 has 48 divisors (see below), whose sum is σ = 59919048. Its totient is φ = 10705920.

The previous prime is 29938603. The next prime is 29938613. The reversal of 29938610 is 1683992.

It can be written as a sum of positive squares in 12 ways, for example, as 4405801 + 25532809 = 2099^2 + 5053^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29938613) 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, 218462 + ... + 218598.

Almost surely, 229938610 is an apocalyptic number.

29938610 is an abundant number, since it is smaller than the sum of its proper divisors (29980438).

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

29938610 is a wasteful number, since it uses less digits than its factorization.

29938610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 38.

The square root of 29938610 is about 5471.6185905087. The cubic root of 29938610 is about 310.5111580772.

The spelling of 29938610 in words is "twenty-nine million, nine hundred thirty-eight thousand, six hundred ten".

Divisors: 1 2 5 10 13 26 41 65 82 130 137 205 274 410 533 685 1066 1370 1681 1781 2665 3362 3562 5330 5617 8405 8905 11234 16810 17810 21853 28085 43706 56170 73021 109265 146042 218530 230297 365105 460594 730210 1151485 2302970 2993861 5987722 14969305 29938610