Search a number
-
+
696640428 = 2232116472719
BaseRepresentation
bin101001100001011…
…110001110101100
31210112212000000100
4221201132032230
52411314443203
6153043231100
723156226441
oct5141361654
91715760010
10696640428
113282652a0
12175378490
13b1434193
14687419c8
154125bea3
hex2985e3ac

696640428 has 72 divisors (see below), whose sum is σ = 1924715520. Its totient is φ = 210699360.

The previous prime is 696640423. The next prime is 696640429. The reversal of 696640428 is 824046696.

696640428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (696640421) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 254853 + ... + 257571.

It is an arithmetic number, because the mean of its divisors is an integer number (26732160).

Almost surely, 2696640428 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 696640428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (962357760).

696640428 is an abundant number, since it is smaller than the sum of its proper divisors (1228075092).

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

696640428 is a wasteful number, since it uses less digits than its factorization.

696640428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3387 (or 3382 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The square root of 696640428 is about 26393.9468060387. The cubic root of 696640428 is about 886.4812577693.

The spelling of 696640428 in words is "six hundred ninety-six million, six hundred forty thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 647 1294 1941 2588 2719 3882 5438 5823 7117 7764 8157 10876 11646 14234 16314 21351 23292 24471 28468 29909 32628 42702 48942 59818 64053 85404 89727 97884 119636 128106 179454 256212 269181 358908 538362 1076724 1759193 3518386 5277579 7036772 10555158 15832737 19351123 21110316 31665474 38702246 58053369 63330948 77404492 116106738 174160107 232213476 348320214 696640428