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78282260 = 22574711897
BaseRepresentation
bin1001010101001…
…11111000010100
312110022011001222
410222213320110
5130020013020
611433505512
71640250110
oct452477024
9173264058
1078282260
1140208691
1222272298
13132ab584
14a57a740
156d14b25
hex4aa7e14

78282260 has 48 divisors (see below), whose sum is σ = 191890944. Its totient is φ = 26266368.

The previous prime is 78282251. The next prime is 78282283. The reversal of 78282260 is 6228287.

78282260 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×782822602 = 12256224461415200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

78282260 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 78282260.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 632 + ... + 12528.

It is an arithmetic number, because the mean of its divisors is an integer number (3997728).

Almost surely, 278282260 is an apocalyptic number.

78282260 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78282260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95945472).

78282260 is an abundant number, since it is smaller than the sum of its proper divisors (113608684).

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

78282260 is a wasteful number, since it uses less digits than its factorization.

78282260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11960 (or 11958 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 78282260 is about 8847.7262615883. The cubic root of 78282260 is about 427.7806326278.

The spelling of 78282260 in words is "seventy-eight million, two hundred eighty-two thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 47 70 94 140 188 235 329 470 658 940 1316 1645 3290 6580 11897 23794 47588 59485 83279 118970 166558 237940 333116 416395 559159 832790 1118318 1665580 2236636 2795795 3914113 5591590 7828226 11183180 15656452 19570565 39141130 78282260