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42500 = 225417
BaseRepresentation
bin1010011000000100
32011022002
422120010
52330000
6524432
7234623
oct123004
964262
1042500
1129a27
1220718
1316463
14116ba
15c8d5
hexa604

42500 has 30 divisors (see below), whose sum is σ = 98406. Its totient is φ = 16000.

The previous prime is 42499. The next prime is 42509. The reversal of 42500 is 524.

It can be written as a sum of positive squares in 5 ways, for example, as 10816 + 31684 = 104^2 + 178^2 .

It is a sliding number, since 42500 = 2500 + 40000 and 1/2500 + 1/40000 = 0.00042500.

It is not an unprimeable number, because it can be changed into a prime (42509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2492 + ... + 2508.

242500 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 42500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49203).

42500 is an abundant number, since it is smaller than the sum of its proper divisors (55906).

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

42500 is a wasteful number, since it uses less digits than its factorization.

42500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 24 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 11.

The square root of 42500 is about 206.1552812809. The cubic root of 42500 is about 34.8976602345.

It can be divided in two parts, 4 and 2500, that multiplied together give a 4-th power (10000 = 104).

The spelling of 42500 in words is "forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 625 850 1250 1700 2125 2500 4250 8500 10625 21250 42500