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29240406 = 23313231811
BaseRepresentation
bin110111110001…
…0110001010110
32001000120022000
41233202301112
524441143111
62522420130
7503352666
oct157426126
961016260
1029240406
1115561828
129961646
13609a320
143c521a6
152878c56
hex1be2c56

29240406 has 64 divisors (see below), whose sum is σ = 73059840. Its totient is φ = 8601120.

The previous prime is 29240401. The next prime is 29240413. The reversal of 29240406 is 60404292.

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

It is a self number, because there is not a number n which added to its sum of digits gives 29240406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29240401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15241 + ... + 17051.

It is an arithmetic number, because the mean of its divisors is an integer number (1141560).

Almost surely, 229240406 is an apocalyptic number.

29240406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 29240406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36529920).

29240406 is an abundant number, since it is smaller than the sum of its proper divisors (43819434).

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

29240406 is a wasteful number, since it uses less digits than its factorization.

29240406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 29240406 is about 5407.4398748391. The cubic root of 29240406 is about 308.0783167909.

Adding to 29240406 its reverse (60404292), we get a palindrome (89644698).

It can be divided in two parts, 29240 and 406, that added together give a triangular number (29646 = T243).

The spelling of 29240406 in words is "twenty-nine million, two hundred forty thousand, four hundred six".

Divisors: 1 2 3 6 9 13 18 23 26 27 39 46 54 69 78 117 138 207 234 299 351 414 598 621 702 897 1242 1794 1811 2691 3622 5382 5433 8073 10866 16146 16299 23543 32598 41653 47086 48897 70629 83306 97794 124959 141258 211887 249918 374877 423774 541489 635661 749754 1082978 1124631 1271322 1624467 2249262 3248934 4873401 9746802 14620203 29240406