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83285631 = 33112133753
BaseRepresentation
bin1001111011011…
…01011001111111
312210201100102000
410331231121333
5132310120011
612133033343
72030626152
oct475553177
9183640360
1083285631
1143015800
1223a85853
1314340a50
14b0bdc99
1574a2356
hex4f6d67f

83285631 has 96 divisors (see below), whose sum is σ = 152832960. Its totient is φ = 44478720.

The previous prime is 83285581. The next prime is 83285641. The reversal of 83285631 is 13658238.

It is not a de Polignac number, because 83285631 - 217 = 83154559 is a prime.

It is a super-2 number, since 2×832856312 = 13872992662136322, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83285641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1571401 + ... + 1571453.

It is an arithmetic number, because the mean of its divisors is an integer number (1592010).

Almost surely, 283285631 is an apocalyptic number.

83285631 is a deficient number, since it is larger than the sum of its proper divisors (69547329).

83285631 is a wasteful number, since it uses less digits than its factorization.

83285631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 117 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 83285631 is about 9126.0961533396. The cubic root of 83285631 is about 436.7068728073.

The spelling of 83285631 in words is "eighty-three million, two hundred eighty-five thousand, six hundred thirty-one".

Divisors: 1 3 9 11 13 27 33 37 39 53 99 111 117 121 143 159 297 333 351 363 407 429 477 481 583 689 999 1089 1221 1287 1431 1443 1573 1749 1961 2067 3267 3663 3861 4329 4477 4719 5247 5291 5883 6201 6413 7579 10989 12987 13431 14157 15741 15873 17649 18603 19239 21571 22737 25493 40293 42471 47619 52947 57717 58201 64713 68211 76479 83369 120879 142857 173151 174603 194139 204633 229437 237281 250107 280423 523809 582417 688311 711843 750321 841269 1571427 2135529 2250963 2523807 3084653 6406587 7571421 9253959 27761877 83285631