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29000412 = 22327157733
BaseRepresentation
bin110111010100…
…0001011011100
32000120101002100
41232220023130
524411003122
62513325100
7501333210
oct156501334
960511070
1029000412
1115408491
129866790
13601500c
143bcc940
15282caac
hex1ba82dc

29000412 has 72 divisors (see below), whose sum is σ = 84427616. Its totient is φ = 8221824.

The previous prime is 29000393. The next prime is 29000443. The reversal of 29000412 is 21400092.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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, 39198 + ... + 39930.

Almost surely, 229000412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29000412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42213808).

29000412 is an abundant number, since it is smaller than the sum of its proper divisors (55427204).

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

29000412 is a wasteful number, since it uses less digits than its factorization.

29000412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 29000412 is about 5385.2030602383. The cubic root of 29000412 is about 307.2331374979.

The spelling of 29000412 in words is "twenty-nine million, four hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 157 252 314 471 628 733 942 1099 1413 1466 1884 2198 2199 2826 2932 3297 4396 4398 5131 5652 6594 6597 8796 9891 10262 13188 13194 15393 19782 20524 26388 30786 39564 46179 61572 92358 115081 184716 230162 345243 460324 690486 805567 1035729 1380972 1611134 2071458 2416701 3222268 4142916 4833402 7250103 9666804 14500206 29000412