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4298256 = 2432191571
BaseRepresentation
bin10000011001011000010000
322002101002200
4100121120100
52100021011
6232043200
751351234
oct20313020
98071080
104298256
112476386
121533500
13b76561
147dc5c4
1559d856
hex419610

4298256 has 60 divisors (see below), whose sum is σ = 12670320. Its totient is φ = 1356480.

The previous prime is 4298233. The next prime is 4298279. The reversal of 4298256 is 6528924.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4298233) and next prime (4298279).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4298256.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1951 + ... + 3521.

It is an arithmetic number, because the mean of its divisors is an integer number (211172).

Almost surely, 24298256 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 4298256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6335160).

4298256 is an abundant number, since it is smaller than the sum of its proper divisors (8372064).

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

4298256 is a wasteful number, since it uses less digits than its factorization.

4298256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1595 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 4298256 is about 2073.2235769449. The cubic root of 4298256 is about 162.5913458809.

It can be divided in two parts, 4298 and 256, that added together give a palindrome (4554).

The spelling of 4298256 in words is "four million, two hundred ninety-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 36 38 48 57 72 76 114 144 152 171 228 304 342 456 684 912 1368 1571 2736 3142 4713 6284 9426 12568 14139 18852 25136 28278 29849 37704 56556 59698 75408 89547 113112 119396 179094 226224 238792 268641 358188 477584 537282 716376 1074564 1432752 2149128 4298256