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8142500 = 22543257
BaseRepresentation
bin11111000011111010100100
3120022200102002
4133003322210
54041030000
6450304432
7126132032
oct37037244
916280362
108142500
114661643
122888118
1318c1262
14111d552
15aac8d5
hex7c3ea4

8142500 has 30 divisors (see below), whose sum is σ = 17811486. Its totient is φ = 3256000.

The previous prime is 8142487. The next prime is 8142503. The reversal of 8142500 is 52418.

It can be written as a sum of positive squares in 5 ways, for example, as 1721344 + 6421156 = 1312^2 + 2534^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (8142503) 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 9 ways as a sum of consecutive naturals, for example, 872 + ... + 4128.

Almost surely, 28142500 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 8142500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8905743).

8142500 is an abundant number, since it is smaller than the sum of its proper divisors (9668986).

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

8142500 is a wasteful number, since it uses less digits than its factorization.

8142500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3281 (or 3264 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 8142500 is about 2853.5066146761. The cubic root of 8142500 is about 201.1805181742.

Adding to 8142500 its reverse (52418), we get a palindrome (8194918).

The spelling of 8142500 in words is "eight million, one hundred forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 3257 6514 13028 16285 32570 65140 81425 162850 325700 407125 814250 1628500 2035625 4071250 8142500