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78366468 = 22329435237
BaseRepresentation
bin1001010101111…
…00011100000100
312110110102120210
410222330130010
5130030211333
611435355420
71641050445
oct452743404
9173412523
1078366468
1140265984
12222b2b70
131330a9bb
14a59d2cc
156d2ea63
hex4abc704

78366468 has 48 divisors (see below), whose sum is σ = 193596480. Its totient is φ = 24630144.

The previous prime is 78366461. The next prime is 78366473. The reversal of 78366468 is 86466387.

It is a happy number.

It is a super-2 number, since 2×783664682 = 12282606613590048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78366461) 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, 12346 + ... + 17582.

It is an arithmetic number, because the mean of its divisors is an integer number (4033260).

Almost surely, 278366468 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 78366468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96798240).

78366468 is an abundant number, since it is smaller than the sum of its proper divisors (115230012).

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

78366468 is a wasteful number, since it uses less digits than its factorization.

78366468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5316 (or 5314 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 48.

The square root of 78366468 is about 8852.4837192734. The cubic root of 78366468 is about 427.9339651230.

The spelling of 78366468 in words is "seventy-eight million, three hundred sixty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 29 43 58 86 87 116 129 172 174 258 348 516 1247 2494 3741 4988 5237 7482 10474 14964 15711 20948 31422 62844 151873 225191 303746 450382 455619 607492 675573 900764 911238 1351146 1822476 2702292 6530539 13061078 19591617 26122156 39183234 78366468