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84274216 = 2313283751
BaseRepresentation
bin1010000010111…
…10110000101000
312212120120111021
411001132300220
5133033233331
612210142224
72042214265
oct501366050
9185516437
1084274216
1143630514
1224281974
13145c8a00
14b29a26c
1575ea211
hex505ec28

84274216 has 48 divisors (see below), whose sum is σ = 173396160. Its totient is φ = 38376000.

The previous prime is 84274199. The next prime is 84274217. The reversal of 84274216 is 61247248.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (84274217) 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 11 ways as a sum of consecutive naturals, for example, 111841 + ... + 112591.

It is an arithmetic number, because the mean of its divisors is an integer number (3612420).

Almost surely, 284274216 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 84274216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86698080).

84274216 is an abundant number, since it is smaller than the sum of its proper divisors (89121944).

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

84274216 is a wasteful number, since it uses less digits than its factorization.

84274216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 849 counting only the distinct ones).

The product of its digits is 21504, while the sum is 34.

The square root of 84274216 is about 9180.0989101425. The cubic root of 84274216 is about 438.4279575516.

The spelling of 84274216 in words is "eighty-four million, two hundred seventy-four thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 26 52 83 104 166 169 332 338 664 676 751 1079 1352 1502 2158 3004 4316 6008 8632 9763 14027 19526 28054 39052 56108 62333 78104 112216 124666 126919 249332 253838 498664 507676 810329 1015352 1620658 3241316 6482632 10534277 21068554 42137108 84274216