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29526930 = 235529419
BaseRepresentation
bin111000010100…
…0101110010010
32001120010100000
41300220232102
530024330210
62532510430
7505655226
oct160505622
961503300
1029526930
1115738024
129a7b416
13616a874
143cc8786
1528d3ac0
hex1c28b92

29526930 has 96 divisors (see below), whose sum is σ = 82555200. Its totient is φ = 7584192.

The previous prime is 29526923. The next prime is 29526941. The reversal of 29526930 is 3962592.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70261 + ... + 70679.

It is an arithmetic number, because the mean of its divisors is an integer number (859950).

Almost surely, 229526930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29526930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41277600).

29526930 is an abundant number, since it is smaller than the sum of its proper divisors (53028270).

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

29526930 is a wasteful number, since it uses less digits than its factorization.

29526930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 458 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 29526930 is about 5433.8687875215. The cubic root of 29526930 is about 309.0813246215.

It can be divided in two parts, 295 and 26930, that added together give a square (27225 = 1652).

The spelling of 29526930 in words is "twenty-nine million, five hundred twenty-six thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 29 30 45 54 58 81 87 90 135 145 162 174 243 261 270 290 405 419 435 486 522 783 810 838 870 1215 1257 1305 1566 2095 2349 2430 2514 2610 3771 3915 4190 4698 6285 7047 7542 7830 11313 11745 12151 12570 14094 18855 22626 23490 24302 33939 35235 36453 37710 56565 60755 67878 70470 72906 101817 109359 113130 121510 169695 182265 203634 218718 328077 339390 364530 509085 546795 656154 984231 1018170 1093590 1640385 1968462 2952693 3280770 4921155 5905386 9842310 14763465 29526930