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42016216 = 23112320759
BaseRepresentation
bin1010000001000…
…1110111011000
32221001122102011
42200101313120
541224004331
64100315304
71020063154
oct240216730
987048364
1042016216
1121798450
12120a2b34
138921488
14581a064
153a4e3b1
hex2811dd8

42016216 has 32 divisors (see below), whose sum is σ = 89683200. Its totient is φ = 18267040.

The previous prime is 42016213. The next prime is 42016217. The reversal of 42016216 is 61261024.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42016211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8356 + ... + 12403.

It is an arithmetic number, because the mean of its divisors is an integer number (2802600).

Almost surely, 242016216 is an apocalyptic number.

42016216 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

42016216 is an abundant number, since it is smaller than the sum of its proper divisors (47666984).

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

42016216 is a wasteful number, since it uses less digits than its factorization.

42016216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20799 (or 20795 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 22.

The square root of 42016216 is about 6481.9916692325. The cubic root of 42016216 is about 347.6473946436.

The spelling of 42016216 in words is "forty-two million, sixteen thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 2024 20759 41518 83036 166072 228349 456698 477457 913396 954914 1826792 1909828 3819656 5252027 10504054 21008108 42016216