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82497150 = 23352531153
BaseRepresentation
bin1001110101011…
…00111001111110
312202020021211000
410322230321332
5132104402100
612104111130
72021133321
oct472547176
9182207730
1082497150
114262736a
12237654a6
1314125ba8
14ad567b8
157398900
hex4eace7e

82497150 has 96 divisors (see below), whose sum is σ = 231815520. Its totient is φ = 21565440.

The previous prime is 82497139. The next prime is 82497157. The reversal of 82497150 is 5179428.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82497157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70974 + ... + 72126.

It is an arithmetic number, because the mean of its divisors is an integer number (2414745).

Almost surely, 282497150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82497150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115907760).

82497150 is an abundant number, since it is smaller than the sum of its proper divisors (149318370).

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

82497150 is a wasteful number, since it uses less digits than its factorization.

82497150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1216 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 82497150 is about 9082.7941736010. The cubic root of 82497150 is about 435.3243716171.

The spelling of 82497150 in words is "eighty-two million, four hundred ninety-seven thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 53 54 75 90 106 135 150 159 225 265 270 318 450 477 530 675 795 954 1153 1325 1350 1431 1590 2306 2385 2650 2862 3459 3975 4770 5765 6918 7155 7950 10377 11530 11925 14310 17295 20754 23850 28825 31131 34590 35775 51885 57650 61109 62262 71550 86475 103770 122218 155655 172950 183327 259425 305545 311310 366654 518850 549981 611090 778275 916635 1099962 1527725 1556550 1649943 1833270 2749905 3055450 3299886 4583175 5499810 8249715 9166350 13749525 16499430 27499050 41248575 82497150