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78339872 = 2513188317
BaseRepresentation
bin1001010101101…
…01111100100000
312110102002002202
410222311330200
5130023333442
611435032332
71640610062
oct452657440
9173362082
1078339872
11402479a6
122229b6a8
13132cb870
14a593732
156d26c32
hex4ab5f20

78339872 has 24 divisors (see below), whose sum is σ = 166096476. Its totient is φ = 36156672.

The previous prime is 78339871. The next prime is 78339881. The reversal of 78339872 is 27893387.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 65351056 + 12988816 = 8084^2 + 3604^2 .

It is a super-2 number, since 2×783398722 = 12274271089952768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (78339871) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 93743 + ... + 94574.

Almost surely, 278339872 is an apocalyptic number.

It is an amenable number.

78339872 is an abundant number, since it is smaller than the sum of its proper divisors (87756604).

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

78339872 is a wasteful number, since it uses less digits than its factorization.

78339872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188340 (or 188332 counting only the distinct ones).

The product of its digits is 508032, while the sum is 47.

The square root of 78339872 is about 8850.9814145099. The cubic root of 78339872 is about 427.8855489241.

The spelling of 78339872 in words is "seventy-eight million, three hundred thirty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 188317 376634 753268 1506536 2448121 3013072 4896242 6026144 9792484 19584968 39169936 78339872