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4257198 = 234112389
BaseRepresentation
bin10000001111010110101110
322000021210000
4100033112232
52042212243
6231125130
751120441
oct20172656
98007700
104257198
112448550
1215137a6
13b6096a
147cb658
155915d3
hex40f5ae

4257198 has 40 divisors (see below), whose sum is σ = 10410840. Its totient is φ = 1289520.

The previous prime is 4257193. The next prime is 4257203. The reversal of 4257198 is 8917524.

4257198 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (4257193) and next prime (4257203).

It is a super-2 number, since 2×42571982 = 36247469622408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4257193) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 588 + ... + 2976.

It is an arithmetic number, because the mean of its divisors is an integer number (260271).

Almost surely, 24257198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4257198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5205420).

4257198 is an abundant number, since it is smaller than the sum of its proper divisors (6153642).

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

4257198 is a wasteful number, since it uses less digits than its factorization.

4257198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414 (or 2405 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 4257198 is about 2063.2978456830. The cubic root of 4257198 is about 162.0719844700.

The spelling of 4257198 in words is "four million, two hundred fifty-seven thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 2389 4778 7167 14334 21501 26279 43002 52558 64503 78837 129006 157674 193509 236511 387018 473022 709533 1419066 2128599 4257198