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86378481 = 36716927
BaseRepresentation
bin1010010011000…
…00011111110001
320000112111000000
411021200133301
5134103102411
612323220213
72066130210
oct511403761
9200474000
1086378481
1144838482
1224b17669
1314b84737
14b687077
1578b3956
hex52607f1

86378481 has 28 divisors (see below), whose sum is σ = 148018432. Its totient is φ = 49356216.

The previous prime is 86378437. The next prime is 86378489. The reversal of 86378481 is 18487368.

86378481 is a `hidden beast` number, since 8 + 637 + 8 + 4 + 8 + 1 = 666.

It is not a de Polignac number, because 86378481 - 213 = 86370289 is a prime.

It is a super-2 number, since 2×863784812 = 14922483959734722, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86378489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 3361 + ... + 13566.

Almost surely, 286378481 is an apocalyptic number.

86378481 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

It is an amenable number.

86378481 is a deficient number, since it is larger than the sum of its proper divisors (61639951).

86378481 is an equidigital number, since it uses as much as digits as its factorization.

86378481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16952 (or 16937 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 86378481 is about 9294.0024209164. The cubic root of 86378481 is about 442.0470746256.

Subtracting from 86378481 its sum of digits (45), we obtain a square (86378436 = 92942).

The spelling of 86378481 in words is "eighty-six million, three hundred seventy-eight thousand, four hundred eighty-one".

Divisors: 1 3 7 9 21 27 63 81 189 243 567 729 1701 5103 16927 50781 118489 152343 355467 457029 1066401 1371087 3199203 4113261 9597609 12339783 28792827 86378481