Search a number
-
+
86378967 = 35373953
BaseRepresentation
bin1010010011000…
…00100111010111
320000112111200000
411021200213113
5134103111332
612323222343
72066131503
oct511404727
9200474600
1086378967
1144838884
1224b179b3
1314b84a1c
14b687303
1578b3b7c
hex52609d7

86378967 has 24 divisors (see below), whose sum is σ = 129873744. Its totient is φ = 57371328.

The previous prime is 86378933. The next prime is 86378977. The reversal of 86378967 is 76987368.

It is not a de Polignac number, because 86378967 - 27 = 86378839 is a prime.

It is a super-2 number, since 2×863789672 = 14922651879974178, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86378917) 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 23 ways as a sum of consecutive naturals, for example, 90163 + ... + 91115.

It is an arithmetic number, because the mean of its divisors is an integer number (5411406).

Almost surely, 286378967 is an apocalyptic number.

86378967 is a deficient number, since it is larger than the sum of its proper divisors (43494777).

86378967 is an equidigital number, since it uses as much as digits as its factorization.

86378967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1341 (or 1329 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The square root of 86378967 is about 9294.0285667734. The cubic root of 86378967 is about 442.0479036688.

The spelling of 86378967 in words is "eighty-six million, three hundred seventy-eight thousand, nine hundred sixty-seven".

Divisors: 1 3 9 27 81 243 373 953 1119 2859 3357 8577 10071 25731 30213 77193 90639 231579 355469 1066407 3199221 9597663 28792989 86378967