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78927048 = 23343492
BaseRepresentation
bin1001011010001…
…01010011001000
312111111220120000
410231011103020
5130201131143
611455403000
71645604004
oct455052310
9174456500
1078927048
1140609072
1222523460
1313475bc5
14a6a7704
156de0bd3
hex4b454c8

78927048 has 60 divisors (see below), whose sum is σ = 221704065. Its totient is φ = 26233632.

The previous prime is 78927029. The next prime is 78927049. The reversal of 78927048 is 84072987.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 74338884 + 4588164 = 8622^2 + 2142^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6282.

It is a junction number, because it is equal to n+sod(n) for n = 78926994 and 78927012.

It is not an unprimeable number, because it can be changed into a prime (78927049) 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 14 ways as a sum of consecutive naturals, for example, 225978 + ... + 226326.

Almost surely, 278927048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78927048

78927048 is an abundant number, since it is smaller than the sum of its proper divisors (142777017).

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

78927048 is an equidigital number, since it uses as much as digits as its factorization.

78927048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 78927048 is about 8884.0895988278. The cubic root of 78927048 is about 428.9519238022.

Multiplying 78927048 by its product of nonzero digits (225792), we get a square (17821096022016 = 42215042).

The spelling of 78927048 in words is "seventy-eight million, nine hundred twenty-seven thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 349 648 698 1047 1396 2094 2792 3141 4188 6282 8376 9423 12564 18846 25128 28269 37692 56538 75384 113076 121801 226152 243602 365403 487204 730806 974408 1096209 1461612 2192418 2923224 3288627 4384836 6577254 8769672 9865881 13154508 19731762 26309016 39463524 78927048