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86248369 = 3722512
BaseRepresentation
bin1010010010000…
…00101110110001
320000021212112001
411021000232301
5134034421434
612320334001
72065045654
oct511005661
9200255461
1086248369
1144759749
1224a74301
1314b3a44c
14b65189b
15788a114
hex5240bb1

86248369 has 9 divisors (see below), whose sum is σ = 88996971. Its totient is φ = 83583000.

The previous prime is 86248343. The next prime is 86248381. The reversal of 86248369 is 96384268.

It is a happy number.

The square root of 86248369 is 9287.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 77176225 + 9072144 = 8785^2 + 3012^2 .

It is not a de Polignac number, because 86248369 - 221 = 84151217 is a prime.

It is a super-2 number, since 2×862483692 = 14877562310320322, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (497664) is a multiple of the sum of its prime divisors (288).

It is not an unprimeable number, because it can be changed into a prime (86248399) 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 8 ways as a sum of consecutive naturals, for example, 343494 + ... + 343744.

Almost surely, 286248369 is an apocalyptic number.

86248369 is the 9287-th square number.

86248369 is the 4644-th centered octagonal number.

It is an amenable number.

86248369 is a deficient number, since it is larger than the sum of its proper divisors (2748602).

86248369 is an frugal number, since it uses more digits than its factorization.

86248369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 288 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The cubic root of 86248369 is about 441.8250110934.

The spelling of 86248369 in words is "eighty-six million, two hundred forty-eight thousand, three hundred sixty-nine".

Divisors: 1 37 251 1369 9287 63001 343619 2331037 86248369