Search a number
-
+
733152728 = 237113138393
BaseRepresentation
bin101011101100110…
…000010111011000
31220002120000110202
4223230300113120
53000141341403
6200430001332
724111460340
oct5354602730
91802500422
10733152728
11346933550
12185646248
13b8b793a9
146d527d20
1544570688
hex2bb305d8

733152728 has 64 divisors (see below), whose sum is σ = 1769195520. Its totient is φ = 276422400.

The previous prime is 733152713. The next prime is 733152731. The reversal of 733152728 is 827251337.

733152728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 733152691 and 733152700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101 + ... + 38292.

It is an arithmetic number, because the mean of its divisors is an integer number (27643680).

Almost surely, 2733152728 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 733152728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884597760).

733152728 is an abundant number, since it is smaller than the sum of its proper divisors (1036042792).

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

733152728 is a wasteful number, since it uses less digits than its factorization.

733152728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38448 (or 38444 counting only the distinct ones).

The product of its digits is 70560, while the sum is 38.

The square root of 733152728 is about 27076.7931631499. The cubic root of 733152728 is about 901.7057068152.

The spelling of 733152728 in words is "seven hundred thirty-three million, one hundred fifty-two thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 31 44 56 62 77 88 124 154 217 248 308 341 434 616 682 868 1364 1736 2387 2728 4774 9548 19096 38393 76786 153572 268751 307144 422323 537502 844646 1075004 1190183 1689292 2150008 2380366 2956261 3378584 4760732 5912522 8331281 9521464 11825044 13092013 16662562 23650088 26184026 33325124 52368052 66650248 91644091 104736104 183288182 366576364 733152728