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84294196 = 22741101727
BaseRepresentation
bin1010000011000…
…11101000110100
312212121120220021
411001203220310
5133034403241
612210414524
72042326450
oct501435064
9185546807
1084294196
1143644528
1224291444
1314604b2c
14b2a3660
1576010d1
hex5063a34

84294196 has 48 divisors (see below), whose sum is σ = 174650112. Its totient is φ = 34848000.

The previous prime is 84294191. The next prime is 84294209. The reversal of 84294196 is 69149248.

It is a super-2 number, since 2×842941962 = 14211022958572832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84294191) 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 15 ways as a sum of consecutive naturals, for example, 115585 + ... + 116311.

It is an arithmetic number, because the mean of its divisors is an integer number (3638544).

Almost surely, 284294196 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 84294196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87325056).

84294196 is an abundant number, since it is smaller than the sum of its proper divisors (90355916).

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

84294196 is a wasteful number, since it uses less digits than its factorization.

84294196 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 878 counting only the distinct ones).

The product of its digits is 124416, while the sum is 43.

The square root of 84294196 is about 9181.1870692193. The cubic root of 84294196 is about 438.4626027801.

The spelling of 84294196 in words is "eighty-four million, two hundred ninety-four thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 28 41 82 101 164 202 287 404 574 707 727 1148 1414 1454 2828 2908 4141 5089 8282 10178 16564 20356 28987 29807 57974 59614 73427 115948 119228 146854 208649 293708 417298 513989 834596 1027978 2055956 3010507 6021014 12042028 21073549 42147098 84294196