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269138688 = 2837133851
BaseRepresentation
bin10000000010101…
…011101100000000
3200202102122212120
4100002223230000
51022344414223
642412324240
76445432620
oct2002535400
9622378776
10269138688
11128a15975
1276173680
13439b3a80
1427a5c880
1518964be3
hex100abb00

269138688 has 144 divisors (see below), whose sum is σ = 881830656. Its totient is φ = 70963200.

The previous prime is 269138657. The next prime is 269138689. The reversal of 269138688 is 886831962.

It is a super-2 number, since 2×2691386882 = 144871266756722688, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 269138688.

It is not an unprimeable number, because it can be changed into a prime (269138689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67963 + ... + 71813.

It is an arithmetic number, because the mean of its divisors is an integer number (6123824).

Almost surely, 2269138688 is an apocalyptic number.

269138688 is a gapful number since it is divisible by the number (28) 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 269138688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (440915328).

269138688 is an abundant number, since it is smaller than the sum of its proper divisors (612691968).

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

269138688 is a wasteful number, since it uses less digits than its factorization.

269138688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3890 (or 3876 counting only the distinct ones).

The product of its digits is 995328, while the sum is 51.

The square root of 269138688 is about 16405.4469003438. The cubic root of 269138688 is about 645.6424006584.

The spelling of 269138688 in words is "two hundred sixty-nine million, one hundred thirty-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 256 273 312 336 364 384 416 448 546 624 672 728 768 832 896 1092 1248 1344 1456 1664 1792 2184 2496 2688 2912 3328 3851 4368 4992 5376 5824 7702 8736 9984 11553 11648 15404 17472 23106 23296 26957 30808 34944 46212 50063 53914 61616 69888 80871 92424 100126 107828 123232 150189 161742 184848 200252 215656 246464 300378 323484 350441 369696 400504 431312 492928 600756 646968 700882 739392 801008 862624 985856 1051323 1201512 1293936 1401764 1478784 1602016 1725248 2102646 2403024 2587872 2803528 2957568 3204032 3450496 4205292 4806048 5175744 5607056 6408064 6900992 8410584 9612096 10351488 11214112 12816128 16821168 19224192 20702976 22428224 33642336 38448384 44856448 67284672 89712896 134569344 269138688