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78229284 = 22372233571
BaseRepresentation
bin1001010100110…
…10111100100100
312110012110101220
410222122330210
5130011314114
611432420340
71636636500
oct452327444
9173173356
1078229284
1140181901
12222476b0
1313290423
14a565300
156d040a9
hex4a9af24

78229284 has 72 divisors (see below), whose sum is σ = 213621408. Its totient is φ = 22216320.

The previous prime is 78229273. The next prime is 78229297. The reversal of 78229284 is 48292287.

It is a super-2 number, since 2×782292842 = 12239641750305312, which contains 22 as substring.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136719 + ... + 137289.

It is an arithmetic number, because the mean of its divisors is an integer number (2966964).

Almost surely, 278229284 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 78229284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106810704).

78229284 is an abundant number, since it is smaller than the sum of its proper divisors (135392124).

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

78229284 is a wasteful number, since it uses less digits than its factorization.

78229284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 825 (or 816 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 78229284 is about 8844.7319914173. The cubic root of 78229284 is about 427.6841134387.

The spelling of 78229284 in words is "seventy-eight million, two hundred twenty-nine thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 233 294 466 571 588 699 932 1142 1398 1631 1713 2284 2796 3262 3426 3997 4893 6524 6852 7994 9786 11417 11991 15988 19572 22834 23982 27979 34251 45668 47964 55958 68502 83937 111916 133043 137004 167874 266086 335748 399129 532172 798258 931301 1596516 1862602 2793903 3725204 5587806 6519107 11175612 13038214 19557321 26076428 39114642 78229284