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78806385 = 335789937
BaseRepresentation
bin1001011001001…
…11110101110001
312111021210001000
410230213311301
5130133301020
611453032213
71644562140
oct454476561
9174253030
1078806385
1140536449
1222485669
1313432cc8
14a675757
156dba090
hex4b27d71

78806385 has 64 divisors (see below), whose sum is σ = 162086400. Its totient is φ = 35582976.

The previous prime is 78806383. The next prime is 78806417. The reversal of 78806385 is 58360887.

78806385 is a `hidden beast` number, since 7 + 8 + 8 + 0 + 638 + 5 = 666.

It is not a de Polignac number, because 78806385 - 21 = 78806383 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 78806385.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (78806381) 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, 83637 + ... + 84573.

It is an arithmetic number, because the mean of its divisors is an integer number (2532600).

Almost surely, 278806385 is an apocalyptic number.

It is an amenable number.

78806385 is an abundant number, since it is smaller than the sum of its proper divisors (83280015).

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

78806385 is a wasteful number, since it uses less digits than its factorization.

78806385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1047 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 78806385 is about 8877.2960410251. The cubic root of 78806385 is about 428.7332196285.

The spelling of 78806385 in words is "seventy-eight million, eight hundred six thousand, three hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 89 105 135 189 267 315 445 623 801 937 945 1335 1869 2403 2811 3115 4005 4685 5607 6559 8433 9345 12015 14055 16821 19677 25299 28035 32795 42165 59031 83393 84105 98385 126495 177093 250179 295155 416965 583751 750537 885465 1250895 1751253 2251611 2918755 3752685 5253759 8756265 11258055 15761277 26268795 78806385