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78406056 = 2334120997
BaseRepresentation
bin1001010110001…
…10000110101000
312110112102220000
410223012012220
5130032443211
611440303000
71641304041
oct453060650
9173472800
1078406056
11402926a3
1222311a60
1313322a21
14a5ad8c8
156d3b656
hex4ac61a8

78406056 has 40 divisors (see below), whose sum is σ = 219611370. Its totient is φ = 26135136.

The previous prime is 78406051. The next prime is 78406079. The reversal of 78406056 is 65060487.

It is a happy number.

78406056 is a `hidden beast` number, since 7 + 8 + 40 + 605 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67076100 + 11329956 = 8190^2 + 3366^2 .

It is a super-2 number, since 2×784060562 = 12295019234950272, which contains 22 as substring.

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 78406056.

It is not an unprimeable number, because it can be changed into a prime (78406051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 59851 + ... + 61146.

Almost surely, 278406056 is an apocalyptic number.

It is an amenable number.

78406056 is an abundant number, since it is smaller than the sum of its proper divisors (141205314).

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

78406056 is a wasteful number, since it uses less digits than its factorization.

78406056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121015 (or 121002 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 78406056 is about 8854.7194196090. The cubic root of 78406056 is about 428.0060120855.

The spelling of 78406056 in words is "seventy-eight million, four hundred six thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 120997 241994 362991 483988 725982 967976 1088973 1451964 2177946 2903928 3266919 4355892 6533838 8711784 9800757 13067676 19601514 26135352 39203028 78406056