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42017500 = 225475
BaseRepresentation
bin1010000001001…
…0001011011100
32221001201011201
42200102023130
541224030000
64100325244
71020100000
oct240221334
987051151
1042017500
1121799408
12120a3824
138921c35
14581a700
153a4e96a
hex28122dc

42017500 has 90 divisors (see below), whose sum is σ = 107196936. Its totient is φ = 14406000.

The previous prime is 42017449. The next prime is 42017513. The reversal of 42017500 is 571024.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 6002497 + ... + 6002503.

Almost surely, 242017500 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 42017500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53598468).

42017500 is an abundant number, since it is smaller than the sum of its proper divisors (65179436).

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

42017500 is an frugal number, since it uses more digits than its factorization.

42017500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 19.

The square root of 42017500 is about 6482.0907121082. The cubic root of 42017500 is about 347.6509359327.

Adding to 42017500 its reverse (571024), we get a palindrome (42588524).

The spelling of 42017500 in words is "forty-two million, seventeen thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 49 50 70 98 100 125 140 175 196 245 250 343 350 490 500 625 686 700 875 980 1225 1250 1372 1715 1750 2401 2450 2500 3430 3500 4375 4802 4900 6125 6860 8575 8750 9604 12005 12250 16807 17150 17500 24010 24500 30625 33614 34300 42875 48020 60025 61250 67228 84035 85750 120050 122500 168070 171500 214375 240100 300125 336140 420175 428750 600250 840350 857500 1200500 1500625 1680700 2100875 3001250 4201750 6002500 8403500 10504375 21008750 42017500