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29442042 = 234723709
BaseRepresentation
bin111000001001…
…1111111111010
32001101210220000
41300103333322
530014121132
62531013430
7505152600
oct160237772
961353800
1029442042
111568a273
129a3a276
13613b036
143ca5870
1528b887c
hex1c13ffa

29442042 has 60 divisors (see below), whose sum is σ = 76763610. Its totient is φ = 8409744.

The previous prime is 29442031. The next prime is 29442043. The reversal of 29442042 is 24024492.

It can be written as a sum of positive squares in only one way, i.e., 27342441 + 2099601 = 5229^2 + 1449^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 29441997 and 29442015.

It is not an unprimeable number, because it can be changed into a prime (29442043) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6084 + ... + 9792.

Almost surely, 229442042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29442042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38381805).

29442042 is an abundant number, since it is smaller than the sum of its proper divisors (47321568).

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

29442042 is a wasteful number, since it uses less digits than its factorization.

29442042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3737 (or 3721 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 29442042 is about 5426.0521560339. The cubic root of 29442042 is about 308.7848440954.

The spelling of 29442042 in words is "twenty-nine million, four hundred forty-two thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3709 3969 7418 7938 11127 22254 25963 33381 51926 66762 77889 100143 155778 181741 200286 233667 300429 363482 467334 545223 600858 701001 1090446 1402002 1635669 2103003 3271338 4206006 4907007 9814014 14721021 29442042