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82669002 = 231331179191
BaseRepresentation
bin1001110110101…
…10110111001010
312202120000112220
410323112313022
5132130402002
612111514510
72022450333
oct473266712
9182500486
1082669002
1142734499
1223828a36
1314186190
14ad9d28a
1573ce7bc
hex4ed6dca

82669002 has 64 divisors (see below), whose sum is σ = 185794560. Its totient is φ = 24350400.

The previous prime is 82669001. The next prime is 82669003. The reversal of 82669002 is 20096628.

It is an interprime number because it is at equal distance from previous prime (82669001) and next prime (82669003).

It is not an unprimeable number, because it can be changed into a prime (82669001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 432727 + ... + 432917.

It is an arithmetic number, because the mean of its divisors is an integer number (2903040).

Almost surely, 282669002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82669002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92897280).

82669002 is an abundant number, since it is smaller than the sum of its proper divisors (103125558).

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

82669002 is a wasteful number, since it uses less digits than its factorization.

82669002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419.

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 82669002 is about 9092.2495566279. The cubic root of 82669002 is about 435.6264405442.

The spelling of 82669002 in words is "eighty-two million, six hundred sixty-nine thousand, two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 179 186 191 358 382 403 537 573 806 1074 1146 1209 2327 2418 2483 4654 4966 5549 5921 6981 7449 11098 11842 13962 14898 16647 17763 33294 34189 35526 68378 72137 76973 102567 144274 153946 205134 216411 230919 432822 444457 461838 888914 1059859 1333371 2119718 2666742 3179577 6359154 13778167 27556334 41334501 82669002