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33014142 = 234724159
BaseRepresentation
bin111110111110…
…0000101111110
32022010021220000
41331330011332
531422423032
63135335130
7550421100
oct175740576
968107800
1033014142
11176aa017
12b0814a6
136abbbc5
144555570
152d71e7c
hex1f7c17e

33014142 has 60 divisors (see below), whose sum is σ = 86074560. Its totient is φ = 9430344.

The previous prime is 33014141. The next prime is 33014147. The reversal of 33014142 is 24141033.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33014141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5859 + ... + 10017.

It is an arithmetic number, because the mean of its divisors is an integer number (1434576).

Almost surely, 233014142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33014142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43037280).

33014142 is an abundant number, since it is smaller than the sum of its proper divisors (53060418).

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

33014142 is a wasteful number, since it uses less digits than its factorization.

33014142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187 (or 4171 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 33014142 is about 5745.7934177971. The cubic root of 33014142 is about 320.7992455979.

Adding to 33014142 its reverse (24141033), we get a palindrome (57155175).

The spelling of 33014142 in words is "thirty-three million, fourteen thousand, one hundred 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 3969 4159 7938 8318 12477 24954 29113 37431 58226 74862 87339 112293 174678 203791 224586 262017 336879 407582 524034 611373 673758 786051 1222746 1572102 1834119 2358153 3668238 4716306 5502357 11004714 16507071 33014142