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182763361 = 11212292
BaseRepresentation
bin10101110010010…
…11111101100001
3110201220100012101
422321023331201
5333241411421
630045130401
74346314534
oct1271137541
9421810171
10182763361
119418a900
1251259a01
132bb30901
141a3b6a1b
15110a2191
hexae4bf61

182763361 has 9 divisors (see below), whose sum is σ = 201052243. Its totient is φ = 166013320.

The previous prime is 182763353. The next prime is 182763367. The reversal of 182763361 is 163367281.

The square root of 182763361 is 13519.

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., 180391761 + 2371600 = 13431^2 + 1540^2 .

It is not a de Polignac number, because 182763361 - 23 = 182763353 is a prime.

It is a super-2 number, since 2×1827633612 = 66804892248032642, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 182763361.

It is not an unprimeable number, because it can be changed into a prime (182763367) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 148095 + ... + 149323.

Almost surely, 2182763361 is an apocalyptic number.

182763361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

182763361 is the 13519-th square number.

182763361 is the 6760-th centered octagonal number.

It is an amenable number.

182763361 is a deficient number, since it is larger than the sum of its proper divisors (18288882).

182763361 is an frugal number, since it uses more digits than its factorization.

182763361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 1240 counting only the distinct ones).

The product of its digits is 36288, while the sum is 37.

The cubic root of 182763361 is about 567.4963144139.

The spelling of 182763361 in words is "one hundred eighty-two million, seven hundred sixty-three thousand, three hundred sixty-one".

Divisors: 1 11 121 1229 13519 148709 1510441 16614851 182763361