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29829390 = 23517232543
BaseRepresentation
bin111000111001…
…0100100001110
32002010111020020
41301302210032
530114020030
62543203010
7511355103
oct161624416
962114206
1029829390
1115924298
129ba6466
136245436
143d66aaa
152943510
hex1c7290e

29829390 has 64 divisors (see below), whose sum is σ = 79128576. Its totient is φ = 7158272.

The previous prime is 29829377. The next prime is 29829403. The reversal of 29829390 is 9392892.

It is an interprime number because it is at equal distance from previous prime (29829377) and next prime (29829403).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10459 + ... + 13001.

It is an arithmetic number, because the mean of its divisors is an integer number (1236384).

Almost surely, 229829390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29829390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39564288).

29829390 is an abundant number, since it is smaller than the sum of its proper divisors (49299186).

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

29829390 is a wasteful number, since it uses less digits than its factorization.

29829390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2593.

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 29829390 is about 5461.6288779081. The cubic root of 29829390 is about 310.1331027452.

The spelling of 29829390 in words is "twenty-nine million, eight hundred twenty-nine thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 23 30 34 46 51 69 85 102 115 138 170 230 255 345 391 510 690 782 1173 1955 2346 2543 3910 5086 5865 7629 11730 12715 15258 25430 38145 43231 58489 76290 86462 116978 129693 175467 216155 259386 292445 350934 432310 584890 648465 877335 994313 1296930 1754670 1988626 2982939 4971565 5965878 9943130 14914695 29829390