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82989150 = 23521937787
BaseRepresentation
bin1001111001001…
…01000001011110
312210011021201020
410330211001132
5132221123100
612122425010
72025252606
oct474450136
9183137636
1082989150
1142932a82
1223962166
1314268b0a
14b043c06
1574445a0
hex4f2505e

82989150 has 96 divisors (see below), whose sum is σ = 222783360. Its totient is φ = 20373120.

The previous prime is 82989091. The next prime is 82989173. The reversal of 82989150 is 5198928.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 105057 + ... + 105843.

It is an arithmetic number, because the mean of its divisors is an integer number (2320660).

Almost surely, 282989150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82989150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111391680).

82989150 is an abundant number, since it is smaller than the sum of its proper divisors (139794210).

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

82989150 is a wasteful number, since it uses less digits than its factorization.

82989150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858 (or 853 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 42.

The square root of 82989150 is about 9109.8380885722. The cubic root of 82989150 is about 436.1880589008.

The spelling of 82989150 in words is "eighty-two million, nine hundred eighty-nine thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 37 38 50 57 74 75 95 111 114 150 185 190 222 285 370 475 555 570 703 787 925 950 1110 1406 1425 1574 1850 2109 2361 2775 2850 3515 3935 4218 4722 5550 7030 7870 10545 11805 14953 17575 19675 21090 23610 29119 29906 35150 39350 44859 52725 58238 59025 74765 87357 89718 105450 118050 145595 149530 174714 224295 291190 373825 436785 448590 553261 727975 747650 873570 1106522 1121475 1455950 1659783 2183925 2242950 2766305 3319566 4367850 5532610 8298915 13831525 16597830 27663050 41494575 82989150