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11752728 = 23313139271
BaseRepresentation
bin101100110101…
…010100011000
3211010002201020
4230311110120
511002041403
61055522440
7201616341
oct54652430
924102636
1011752728
1166a7aa9
123b29420
1325865a0
1417bd0c8
151072453
hexb35518

11752728 has 64 divisors (see below), whose sum is σ = 31987200. Its totient is φ = 3576960.

The previous prime is 11752723. The next prime is 11752739. The reversal of 11752728 is 82725711.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11752723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43233 + ... + 43503.

It is an arithmetic number, because the mean of its divisors is an integer number (499800).

Almost surely, 211752728 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 11752728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15993600).

11752728 is an abundant number, since it is smaller than the sum of its proper divisors (20234472).

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

11752728 is a wasteful number, since it uses less digits than its factorization.

11752728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 428 counting only the distinct ones).

The product of its digits is 7840, while the sum is 33.

The square root of 11752728 is about 3428.2251968037. The cubic root of 11752728 is about 227.3593898252.

The spelling of 11752728 in words is "eleven million, seven hundred fifty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 139 156 271 278 312 417 542 556 813 834 1084 1112 1626 1668 1807 2168 3252 3336 3523 3614 5421 6504 7046 7228 10569 10842 14092 14456 21138 21684 28184 37669 42276 43368 75338 84552 113007 150676 226014 301352 452028 489697 904056 979394 1469091 1958788 2938182 3917576 5876364 11752728