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29024190 = 2335138269
BaseRepresentation
bin110111010110…
…1111110111110
32000121120201000
41232231332332
524412233230
62514031130
7501462426
oct156557676
960546630
1029024190
1115424338
1298784a6
136022aa0
143bd7486
152834b60
hex1badfbe

29024190 has 64 divisors (see below), whose sum is σ = 83361600. Its totient is φ = 7143552.

The previous prime is 29024189. The next prime is 29024213. The reversal of 29024190 is 9142092.

It is a super-2 number, since 2×290241902 = 1684807210312200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 625 + ... + 7644.

It is an arithmetic number, because the mean of its divisors is an integer number (1302525).

Almost surely, 229024190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29024190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41680800).

29024190 is an abundant number, since it is smaller than the sum of its proper divisors (54337410).

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

29024190 is a wasteful number, since it uses less digits than its factorization.

29024190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8298 (or 8292 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 29024190 is about 5387.4103240797. The cubic root of 29024190 is about 307.3170833610.

The spelling of 29024190 in words is "twenty-nine million, twenty-four thousand, one hundred ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 65 78 90 117 130 135 195 234 270 351 390 585 702 1170 1755 3510 8269 16538 24807 41345 49614 74421 82690 107497 124035 148842 214994 223263 248070 322491 372105 446526 537485 644982 744210 967473 1074970 1116315 1612455 1934946 2232630 2902419 3224910 4837365 5804838 9674730 14512095 29024190