Search a number
-
+
42506500 = 2253151563
BaseRepresentation
bin1010001000100…
…1100100000100
32221222112221211
42202021210010
541340202000
64115021204
71024204441
oct242114404
987875854
1042506500
1121aa2843
121229a804
138a6369a
1459069c8
153ae97ba
hex2889904

42506500 has 48 divisors (see below), whose sum is σ = 93614976. Its totient is φ = 16860000.

The previous prime is 42506479. The next prime is 42506501. The reversal of 42506500 is 560524.

It is not an unprimeable number, because it can be changed into a prime (42506501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75219 + ... + 75781.

It is an arithmetic number, because the mean of its divisors is an integer number (1950312).

Almost surely, 242506500 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 42506500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46807488).

42506500 is an abundant number, since it is smaller than the sum of its proper divisors (51108476).

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

42506500 is a wasteful number, since it uses less digits than its factorization.

42506500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 721 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 42506500 is about 6519.7009133855. The cubic root of 42506500 is about 348.9943924026.

The spelling of 42506500 in words is "forty-two million, five hundred six thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 151 250 302 500 563 604 755 1126 1510 2252 2815 3020 3775 5630 7550 11260 14075 15100 18875 28150 37750 56300 70375 75500 85013 140750 170026 281500 340052 425065 850130 1700260 2125325 4250650 8501300 10626625 21253250 42506500