Search a number
-
+
78013296 = 2432541759
BaseRepresentation
bin1001010011001…
…10001101110000
312102210111010100
410221212031300
5124432411141
611424032400
71635050004
oct451461560
9172714110
1078013296
11400445a9
1222162700
131321601a
14a50a704
156cb00b6
hex4a66370

78013296 has 30 divisors (see below), whose sum is σ = 218329280. Its totient is φ = 26004384.

The previous prime is 78013291. The next prime is 78013303. The reversal of 78013296 is 69231087.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 78013296.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78013291) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 270736 + ... + 271023.

Almost surely, 278013296 is an apocalyptic number.

It is an amenable number.

78013296 is an abundant number, since it is smaller than the sum of its proper divisors (140315984).

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

78013296 is a wasteful number, since it uses less digits than its factorization.

78013296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541773 (or 541764 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 78013296 is about 8832.5135720247. The cubic root of 78013296 is about 427.2901442562.

The spelling of 78013296 in words is "seventy-eight million, thirteen thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 541759 1083518 1625277 2167036 3250554 4334072 4875831 6501108 8668144 9751662 13002216 19503324 26004432 39006648 78013296