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4428500 = 225317521
BaseRepresentation
bin10000111001001011010100
322022222202112
4100321023110
52113203000
6234530152
752433036
oct20711324
98288675
104428500
11255521a
121596958
13bc091b
14833c56
155c7235
hex4392d4

4428500 has 48 divisors (see below), whose sum is σ = 10260432. Its totient is φ = 1664000.

The previous prime is 4428497. The next prime is 4428509. The reversal of 4428500 is 58244.

It can be written as a sum of positive squares in 8 ways, for example, as 1281424 + 3147076 = 1132^2 + 1774^2 .

It is a super-2 number, since 2×44285002 = 39223224500000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4428509) 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, 8240 + ... + 8760.

It is an arithmetic number, because the mean of its divisors is an integer number (213759).

Almost surely, 24428500 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 4428500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5130216).

4428500 is an abundant number, since it is smaller than the sum of its proper divisors (5831932).

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

4428500 is a wasteful number, since it uses less digits than its factorization.

4428500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 4428500 is about 2104.4001520623. The cubic root of 4428500 is about 164.2172907969.

The spelling of 4428500 in words is "four million, four hundred twenty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 340 425 500 521 850 1042 1700 2084 2125 2605 4250 5210 8500 8857 10420 13025 17714 26050 35428 44285 52100 65125 88570 130250 177140 221425 260500 442850 885700 1107125 2214250 4428500