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29329542 = 23211167887
BaseRepresentation
bin110111111100…
…0100010000110
32001012002120100
41233320202012
530002021132
62524344530
7504203604
oct157704206
961162510
1029329542
11156127a0
1299a5146
1360cba78
143c76874
15289537c
hex1bf8886

29329542 has 48 divisors (see below), whose sum is σ = 69818112. Its totient is φ = 8824560.

The previous prime is 29329523. The next prime is 29329543. The reversal of 29329542 is 24592392.

29329542 is a `hidden beast` number, since 2 + 93 + 29 + 542 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 29329497 and 29329506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29329543) by changing a digit.

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, 32623 + ... + 33509.

It is an arithmetic number, because the mean of its divisors is an integer number (1454544).

Almost surely, 229329542 is an apocalyptic number.

29329542 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 29329542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34909056).

29329542 is an abundant number, since it is smaller than the sum of its proper divisors (40488570).

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

29329542 is a wasteful number, since it uses less digits than its factorization.

29329542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1073 (or 1070 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 29329542 is about 5415.6755811256. The cubic root of 29329542 is about 308.3910462863.

The spelling of 29329542 in words is "twenty-nine million, three hundred twenty-nine thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 167 198 334 501 887 1002 1503 1774 1837 2661 3006 3674 5322 5511 7983 9757 11022 15966 16533 19514 29271 33066 58542 87813 148129 175626 296258 444387 888774 1333161 1629419 2666322 3258838 4888257 9776514 14664771 29329542