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82185436 = 2237555307
BaseRepresentation
bin1001110011000…
…00110011011100
312201122110020001
410321200303130
5132014413221
612053304044
72015364454
oct471406334
9181573201
1082185436
1142434153
1223635024
1314047048
14acb4d64
157336391
hex4e60cdc

82185436 has 12 divisors (see below), whose sum is σ = 147711928. Its totient is φ = 39982032.

The previous prime is 82185421. The next prime is 82185437. The reversal of 82185436 is 63458128.

It is a happy number.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 82185395 and 82185404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82185437) 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 3 ways as a sum of consecutive naturals, for example, 277506 + ... + 277801.

Almost surely, 282185436 is an apocalyptic number.

It is an amenable number.

82185436 is a deficient number, since it is larger than the sum of its proper divisors (65526492).

82185436 is a wasteful number, since it uses less digits than its factorization.

82185436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555348 (or 555346 counting only the distinct ones).

The product of its digits is 46080, while the sum is 37.

The square root of 82185436 is about 9065.6183462575. The cubic root of 82185436 is about 434.7753911573.

It can be divided in two parts, 82185 and 436, that added together give a triangular number (82621 = T406).

The spelling of 82185436 in words is "eighty-two million, one hundred eighty-five thousand, four hundred thirty-six".

Divisors: 1 2 4 37 74 148 555307 1110614 2221228 20546359 41092718 82185436