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78640848 = 243311131967
BaseRepresentation
bin1001010111111…
…11011011010000
312110222100222000
410223333123100
5130113001343
611445314000
71643302416
oct453773320
9173870860
1078640848
1140433040
1222405900
13133a5860
14a6312b6
156d85ed3
hex4aff6d0

78640848 has 320 divisors, whose sum is σ = 283315200. Its totient is φ = 20528640.

The previous prime is 78640843. The next prime is 78640927. The reversal of 78640848 is 84804687.

It is a super-3 number, since 3×786408483 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78640843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1173711 + ... + 1173777.

It is an arithmetic number, because the mean of its divisors is an integer number (885360).

Almost surely, 278640848 is an apocalyptic number.

78640848 is a gapful number since it is divisible by the number (78) 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 78640848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141657600).

78640848 is an abundant number, since it is smaller than the sum of its proper divisors (204674352).

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

78640848 is a wasteful number, since it uses less digits than its factorization.

78640848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 78640848 is about 8867.9675236212. The cubic root of 78640848 is about 428.4328168883.

The spelling of 78640848 in words is "seventy-eight million, six hundred forty thousand, eight hundred forty-eight".