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42066216 = 23367213
BaseRepresentation
bin1010000001111…
…0000100101000
32221011012000000
42200132010220
541232104331
64101343000
71020362013
oct240360450
987135000
1042066216
1121821a75
1212107a60
13893b16a
14583037a
153a5e0e6
hex281e128

42066216 has 56 divisors (see below), whose sum is σ = 118273530. Its totient is φ = 14020128.

The previous prime is 42066203. The next prime is 42066223. The reversal of 42066216 is 61266024.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 29746116 + 12320100 = 5454^2 + 3510^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 42066216.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2226 + ... + 9438.

Almost surely, 242066216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42066216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59136765).

42066216 is an abundant number, since it is smaller than the sum of its proper divisors (76207314).

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

42066216 is an equidigital number, since it uses as much as digits as its factorization.

42066216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7237 (or 7218 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42066216 is about 6485.8473617562. The cubic root of 42066216 is about 347.7852420498.

The spelling of 42066216 in words is "forty-two million, sixty-six thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 243 324 486 648 729 972 1458 1944 2916 5832 7213 14426 21639 28852 43278 57704 64917 86556 129834 173112 194751 259668 389502 519336 584253 779004 1168506 1558008 1752759 2337012 3505518 4674024 5258277 7011036 10516554 14022072 21033108 42066216