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82990500 = 2235361907
BaseRepresentation
bin1001111001001…
…01010110100100
312210011100120020
410330211112210
5132221144000
612122435140
72025256545
oct474452644
9183140506
1082990500
1142933a9a
1223962ab0
1314269608
14b0444cc
157444ba0
hex4f255a4

82990500 has 96 divisors (see below), whose sum is σ = 245900928. Its totient is φ = 21744000.

The previous prime is 82990469. The next prime is 82990507. The reversal of 82990500 is 509928.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (82990507) 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 31 ways as a sum of consecutive naturals, for example, 91047 + ... + 91953.

It is an arithmetic number, because the mean of its divisors is an integer number (2561468).

Almost surely, 282990500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82990500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122950464).

82990500 is an abundant number, since it is smaller than the sum of its proper divisors (162910428).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82990500 is a wasteful number, since it uses less digits than its factorization.

82990500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 990 (or 978 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 33.

The square root of 82990500 is about 9109.9121839895. The cubic root of 82990500 is about 436.1904240722.

The spelling of 82990500 in words is "eighty-two million, nine hundred ninety thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 125 150 183 244 250 300 305 366 375 500 610 732 750 907 915 1220 1500 1525 1814 1830 2721 3050 3628 3660 4535 4575 5442 6100 7625 9070 9150 10884 13605 15250 18140 18300 22675 22875 27210 30500 45350 45750 54420 55327 68025 90700 91500 110654 113375 136050 165981 221308 226750 272100 276635 331962 340125 453500 553270 663924 680250 829905 1106540 1360500 1383175 1659810 2766350 3319620 4149525 5532700 6915875 8299050 13831750 16598100 20747625 27663500 41495250 82990500