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4287500 = 225573
BaseRepresentation
bin10000010110110000001100
322001211100022
4100112300030
52044200000
6231521312
751305000
oct20266014
98054308
104287500
112469298
121529238
13b716a9
147d8700
1559a585
hex416c0c

4287500 has 72 divisors (see below), whose sum is σ = 10936800. Its totient is φ = 1470000.

The previous prime is 4287473. The next prime is 4287511. The reversal of 4287500 is 57824.

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 self number, because there is not a number n which added to its sum of digits gives 4287500.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 612497 + ... + 612503.

It is an arithmetic number, because the mean of its divisors is an integer number (151900).

Almost surely, 24287500 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 4287500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5468400).

4287500 is an abundant number, since it is smaller than the sum of its proper divisors (6649300).

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

4287500 is an frugal number, since it uses more digits than its factorization.

4287500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50 (or 14 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 4287500 is about 2070.6279240849. The cubic root of 4287500 is about 162.4556091764.

Multiplying 4287500 by its product of nonzero digits (2240), we get a square (9604000000 = 980002).

The spelling of 4287500 in words is "four million, two hundred eighty-seven 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 2450 2500 3125 3430 3500 4375 4900 6125 6250 6860 8575 8750 12250 12500 17150 17500 21875 24500 30625 34300 42875 43750 61250 85750 87500 122500 153125 171500 214375 306250 428750 612500 857500 1071875 2143750 4287500