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4258640 = 24553233
BaseRepresentation
bin10000001111101101010000
322000100202102
4100033231100
52042234030
6231135532
751124601
oct20175520
98010672
104258640
112449641
1215145a8
13b61509
147cbda8
15591c45
hex40fb50

4258640 has 20 divisors (see below), whose sum is σ = 9901524. Its totient is φ = 1703424.

The previous prime is 4258609. The next prime is 4258643. The reversal of 4258640 is 468524.

It can be written as a sum of positive squares in 2 ways, for example, as 678976 + 3579664 = 824^2 + 1892^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a Smith number, since the sum of its digits (29) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4258643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26537 + ... + 26696.

Almost surely, 24258640 is an apocalyptic number.

4258640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4258640 is an abundant number, since it is smaller than the sum of its proper divisors (5642884).

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

4258640 is a wasteful number, since it uses less digits than its factorization.

4258640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53246 (or 53240 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 4258640 is about 2063.6472566793. The cubic root of 4258640 is about 162.0902814358.

The spelling of 4258640 in words is "four million, two hundred fifty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 53233 106466 212932 266165 425864 532330 851728 1064660 2129320 4258640