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83628136 = 23791131171
BaseRepresentation
bin1001111110000…
…01000001101000
312211100202020101
410333001001220
5132402100021
612144235144
72033553544
oct477010150
9184322211
1083628136
114322a069
122400bab4
1314430907
14b16ca24
15751da91
hex4fc1068

83628136 has 32 divisors (see below), whose sum is σ = 160329600. Its totient is φ = 40884480.

The previous prime is 83628119. The next prime is 83628169. The reversal of 83628136 is 63182638.

83628136 = T165 + T166 + ... + T796.

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

It is a junction number, because it is equal to n+sod(n) for n = 83628095 and 83628104.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 70831 + ... + 72001.

It is an arithmetic number, because the mean of its divisors is an integer number (5010300).

Almost surely, 283628136 is an apocalyptic number.

It is an amenable number.

83628136 is a deficient number, since it is larger than the sum of its proper divisors (76701464).

83628136 is a wasteful number, since it uses less digits than its factorization.

83628136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1365 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 83628136 is about 9144.8420434691. The cubic root of 83628136 is about 437.3046938868.

The spelling of 83628136 in words is "eighty-three million, six hundred twenty-eight thousand, one hundred thirty-six".

Divisors: 1 2 4 8 79 113 158 226 316 452 632 904 1171 2342 4684 8927 9368 17854 35708 71416 92509 132323 185018 264646 370036 529292 740072 1058584 10453517 20907034 41814068 83628136