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3913728 = 21137213
BaseRepresentation
bin1110111011100000000000
321100211121220
432323200000
52000214403
6215515040
745160200
oct16734000
97324556
103913728
112233495
121388a80
13a70520
1473c400
15524953
hex3bb800

3913728 has 144 divisors (see below), whose sum is σ = 13071240. Its totient is φ = 1032192.

The previous prime is 3913727. The next prime is 3913747. The reversal of 3913728 is 8273193.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3913727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301050 + ... + 301062.

Almost surely, 23913728 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 3913728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6535620).

3913728 is an abundant number, since it is smaller than the sum of its proper divisors (9157512).

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

3913728 is a wasteful number, since it uses less digits than its factorization.

3913728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 25 counting only the distinct ones).

The product of its digits is 9072, while the sum is 33.

The square root of 3913728 is about 1978.3144340574. The cubic root of 3913728 is about 157.5905651974.

The spelling of 3913728 in words is "three million, nine hundred thirteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 64 78 84 91 96 98 104 112 128 147 156 168 182 192 196 208 224 256 273 294 312 336 364 384 392 416 448 512 546 588 624 637 672 728 768 784 832 896 1024 1092 1176 1248 1274 1344 1456 1536 1568 1664 1792 1911 2048 2184 2352 2496 2548 2688 2912 3072 3136 3328 3584 3822 4368 4704 4992 5096 5376 5824 6144 6272 6656 7168 7644 8736 9408 9984 10192 10752 11648 12544 13312 14336 15288 17472 18816 19968 20384 21504 23296 25088 26624 30576 34944 37632 39936 40768 43008 46592 50176 61152 69888 75264 79872 81536 93184 100352 122304 139776 150528 163072 186368 244608 279552 301056 326144 489216 559104 652288 978432 1304576 1956864 3913728