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84216319 = 11292271163
BaseRepresentation
bin1010000010100…
…00100111111111
312212110122001221
411001100213333
5133024410234
612205014211
72041553425
oct501204777
9185418057
1084216319
11435a0a70
1224254367
13145a8555
14b283115
1575d7eb4
hex50509ff

84216319 has 16 divisors (see below), whose sum is σ = 95541120. Its totient is φ = 73531360.

The previous prime is 84216299. The next prime is 84216359. The reversal of 84216319 is 91361248.

It is a cyclic number.

It is not a de Polignac number, because 84216319 - 25 = 84216287 is a prime.

It is a super-2 number, since 2×842163192 = 14184776771819522, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84216359) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71832 + ... + 72994.

It is an arithmetic number, because the mean of its divisors is an integer number (5971320).

Almost surely, 284216319 is an apocalyptic number.

84216319 is a deficient number, since it is larger than the sum of its proper divisors (11324801).

84216319 is a wasteful number, since it uses less digits than its factorization.

84216319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1430.

The product of its digits is 10368, while the sum is 34.

The square root of 84216319 is about 9176.9449709585. The cubic root of 84216319 is about 438.3275334844.

Subtracting 84216319 from its reverse (91361248), we obtain a square (7144929 = 26732).

It can be divided in two parts, 842 and 16319, that added together give a square (17161 = 1312).

The spelling of 84216319 in words is "eighty-four million, two hundred sixteen thousand, three hundred nineteen".

Divisors: 1 11 29 227 319 1163 2497 6583 12793 33727 72413 264001 370997 2904011 7656029 84216319