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26434440 = 2332597757
BaseRepresentation
bin110010011010…
…1101110001000
31211202000020100
41210311232020
523231400230
62342325400
7440455224
oct144655610
954660210
1026434440
1113a1564a
128a29860
1356270a6
143721784
1524c2660
hex1935b88

26434440 has 96 divisors (see below), whose sum is σ = 86912280. Its totient is φ = 6967296.

The previous prime is 26434433. The next prime is 26434459. The reversal of 26434440 is 4443462.

It can be written as a sum of positive squares in 4 ways, for example, as 21846276 + 4588164 = 4674^2 + 2142^2 .

It is a super-2 number, since 2×264344402 = 1397559236227200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34542 + ... + 35298.

Almost surely, 226434440 is an apocalyptic number.

26434440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26434440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43456140).

26434440 is an abundant number, since it is smaller than the sum of its proper divisors (60477840).

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

26434440 is a wasteful number, since it uses less digits than its factorization.

26434440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 864 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

The square root of 26434440 is about 5141.4433771072. The cubic root of 26434440 is about 297.8905352947.

The spelling of 26434440 in words is "twenty-six million, four hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 97 120 180 194 291 360 388 485 582 757 776 873 970 1164 1455 1514 1746 1940 2271 2328 2910 3028 3492 3785 3880 4365 4542 5820 6056 6813 6984 7570 8730 9084 11355 11640 13626 15140 17460 18168 22710 27252 30280 34065 34920 45420 54504 68130 73429 90840 136260 146858 220287 272520 293716 367145 440574 587432 660861 734290 881148 1101435 1321722 1468580 1762296 2202870 2643444 2937160 3304305 4405740 5286888 6608610 8811480 13217220 26434440