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16242642 = 23213411693
BaseRepresentation
bin111101111101…
…011111010010
31010120012201100
4331331133102
513124231032
61340045230
7255026433
oct75753722
933505640
1016242642
119194379
125533816
133499140
14222b48a
15165c97c
hexf7d7d2

16242642 has 48 divisors (see below), whose sum is σ = 38846808. Its totient is φ = 4872960.

The previous prime is 16242619. The next prime is 16242649. The reversal of 16242642 is 24624261.

16242642 is a `hidden beast` number, since 16 + 2 + 4 + 2 + 642 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5803281 + 10439361 = 2409^2 + 3231^2 .

It is not an unprimeable number, because it can be changed into a prime (16242649) 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 23 ways as a sum of consecutive naturals, for example, 8748 + ... + 10440.

Almost surely, 216242642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16242642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19423404).

16242642 is an abundant number, since it is smaller than the sum of its proper divisors (22604166).

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

16242642 is a wasteful number, since it uses less digits than its factorization.

16242642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1755 (or 1752 counting only the distinct ones).

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

The square root of 16242642 is about 4030.2161232371. The cubic root of 16242642 is about 253.2516153019.

The spelling of 16242642 in words is "sixteen million, two hundred forty-two thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 41 78 82 117 123 234 246 369 533 738 1066 1599 1693 3198 3386 4797 5079 9594 10158 15237 22009 30474 44018 66027 69413 132054 138826 198081 208239 396162 416478 624717 902369 1249434 1804738 2707107 5414214 8121321 16242642