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4266100 = 2252371153
BaseRepresentation
bin10000010001100001110100
322000201222201
4100101201310
52043003400
6231234244
751155416
oct20214164
98021881
104266100
112454203
121518984
13b64a27
147d09b6
1559406a
hex411874

4266100 has 36 divisors (see below), whose sum is σ = 9515884. Its totient is φ = 1658880.

The previous prime is 4266061. The next prime is 4266149. The reversal of 4266100 is 16624.

It can be written as a sum of positive squares in 6 ways, for example, as 242064 + 4024036 = 492^2 + 2006^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3124 + ... + 4276.

Almost surely, 24266100 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 4266100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4757942).

4266100 is an abundant number, since it is smaller than the sum of its proper divisors (5249784).

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

4266100 is a wasteful number, since it uses less digits than its factorization.

4266100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 4266100 is about 2065.4539452624. The cubic root of 4266100 is about 162.1848725200.

The spelling of 4266100 in words is "four million, two hundred sixty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 37 50 74 100 148 185 370 740 925 1153 1850 2306 3700 4612 5765 11530 23060 28825 42661 57650 85322 115300 170644 213305 426610 853220 1066525 2133050 4266100