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78245216 = 2571632143
BaseRepresentation
bin1001010100111…
…10110101100000
312110020021020222
410222132311200
5130012321331
611433022212
71640034110
oct452366540
9173207228
1078245216
1140192875
1222254968
131329775a
14a56b040
156d08b7b
hex4a9ed60

78245216 has 48 divisors (see below), whose sum is σ = 177214464. Its totient is φ = 33312384.

The previous prime is 78245207. The next prime is 78245231. The reversal of 78245216 is 61254287.

It is a super-2 number, since 2×782452162 = 12244627653773312, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 35441 + ... + 37583.

It is an arithmetic number, because the mean of its divisors is an integer number (3691968).

Almost surely, 278245216 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 78245216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88607232).

78245216 is an abundant number, since it is smaller than the sum of its proper divisors (98969248).

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

78245216 is a wasteful number, since it uses less digits than its factorization.

78245216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2323 (or 2315 counting only the distinct ones).

The product of its digits is 26880, while the sum is 35.

The square root of 78245216 is about 8845.6325946763. The cubic root of 78245216 is about 427.7131451961.

The spelling of 78245216 in words is "seventy-eight million, two hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 163 224 326 652 1141 1304 2143 2282 2608 4286 4564 5216 8572 9128 15001 17144 18256 30002 34288 36512 60004 68576 120008 240016 349309 480032 698618 1397236 2445163 2794472 4890326 5588944 9780652 11177888 19561304 39122608 78245216