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4298742 = 2327109313
BaseRepresentation
bin10000011001011111110110
322002101202200
4100121133312
52100024432
6232045330
751352530
oct20313766
98071680
104298742
112476788
121533846
13b76846
147dc850
1559da7c
hex4197f6

4298742 has 48 divisors (see below), whose sum is σ = 10776480. Its totient is φ = 1213056.

The previous prime is 4298729. The next prime is 4298759. The reversal of 4298742 is 2478924.

It is a junction number, because it is equal to n+sod(n) for n = 4298697 and 4298706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13578 + ... + 13890.

It is an arithmetic number, because the mean of its divisors is an integer number (224510).

Almost surely, 24298742 is an apocalyptic number.

4298742 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 4298742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5388240).

4298742 is an abundant number, since it is smaller than the sum of its proper divisors (6477738).

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

4298742 is a wasteful number, since it uses less digits than its factorization.

4298742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 434 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 4298742 is about 2073.3407824089. The cubic root of 4298742 is about 162.5974736698.

The spelling of 4298742 in words is "four million, two hundred ninety-eight thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 109 126 218 313 327 626 654 763 939 981 1526 1878 1962 2191 2289 2817 4382 4578 5634 6573 6867 13146 13734 19719 34117 39438 68234 102351 204702 238819 307053 477638 614106 716457 1432914 2149371 4298742