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269493248 = 21017113137
BaseRepresentation
bin10000000100000…
…010010000000000
3200210002200020102
4100010002100000
51022442240443
642424101532
76451440413
oct2004022000
9623080212
10269493248
111291382a2
12763048a8
1343aa927b
1427b11b7a
15189d4cb8
hex10102400

269493248 has 88 divisors (see below), whose sum is σ = 579661272. Its totient is φ = 124780544.

The previous prime is 269493239. The next prime is 269493319. The reversal of 269493248 is 842394962.

It can be written as a sum of positive squares in 4 ways, for example, as 17572864 + 251920384 = 4192^2 + 15872^2 .

It is a super-2 number, since 2×2694932482 = 145253221435179008, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1967036 + ... + 1967172.

Almost surely, 2269493248 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 269493248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289830636).

269493248 is an abundant number, since it is smaller than the sum of its proper divisors (310168024).

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

269493248 is a wasteful number, since it uses less digits than its factorization.

269493248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 269 counting only the distinct ones).

The product of its digits is 746496, while the sum is 47.

The square root of 269493248 is about 16416.2495107744. The cubic root of 269493248 is about 645.9257967020.

The spelling of 269493248 in words is "two hundred sixty-nine million, four hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 113 128 136 137 226 256 272 274 452 512 544 548 904 1024 1088 1096 1808 1921 2176 2192 2329 3616 3842 4352 4384 4658 7232 7684 8704 8768 9316 14464 15368 15481 17408 17536 18632 28928 30736 30962 35072 37264 57856 61472 61924 70144 74528 115712 122944 123848 140288 149056 245888 247696 263177 298112 491776 495392 526354 596224 983552 990784 1052708 1192448 1967104 1981568 2105416 2384896 3963136 4210832 7926272 8421664 15852544 16843328 33686656 67373312 134746624 269493248