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182806381 = 3753731277
BaseRepresentation
bin10101110010101…
…10011101101101
3110201222112012201
422321112131231
5333244301011
630050101501
74346554132
oct1271263555
9421875181
10182806381
119420a15a
125127a891
132bb47374
141a3c8589
15110aecc1
hexae5676d

182806381 has 16 divisors (see below), whose sum is σ = 194061744. Its totient is φ = 171984384.

The previous prime is 182806339. The next prime is 182806387. The reversal of 182806381 is 183608281.

It can be written as a sum of positive squares in 8 ways, for example, as 35402500 + 147403881 = 5950^2 + 12141^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-182806381 is a prime.

It is a super-2 number, since 2×1828063812 = 66836345868634322, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 182806381.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (182806387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 142515 + ... + 143791.

It is an arithmetic number, because the mean of its divisors is an integer number (12128859).

Almost surely, 2182806381 is an apocalyptic number.

It is an amenable number.

182806381 is a deficient number, since it is larger than the sum of its proper divisors (11255363).

182806381 is a wasteful number, since it uses less digits than its factorization.

182806381 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1440.

The product of its (nonzero) digits is 18432, while the sum is 37.

The square root of 182806381 is about 13520.5910003964. The cubic root of 182806381 is about 567.5408378822.

The spelling of 182806381 in words is "one hundred eighty-two million, eight hundred six thousand, three hundred eighty-one".

Divisors: 1 37 53 73 1277 1961 2701 3869 47249 67681 93221 143153 2504197 3449177 4940713 182806381