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728142732 = 2232831971237
BaseRepresentation
bin101011011001101…
…001001110001100
31212202010111001100
4223121221032030
52442401031412
6200130343100
724021053052
oct5331511614
91782114040
10728142732
11344021459
12183a2aa90
13b7b13bb5
146c9c21d2
1543dd0edc
hex2b66938c

728142732 has 72 divisors (see below), whose sum is σ = 1873727856. Its totient is φ = 238379904.

The previous prime is 728142713. The next prime is 728142761. The reversal of 728142732 is 237241827.

728142732 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 588018 + ... + 589254.

It is an arithmetic number, because the mean of its divisors is an integer number (26023998).

Almost surely, 2728142732 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 728142732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936863928).

728142732 is an abundant number, since it is smaller than the sum of its proper divisors (1145585124).

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

728142732 is a wasteful number, since it uses less digits than its factorization.

728142732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1527 (or 1522 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 728142732 is about 26984.1199967685. The cubic root of 728142732 is about 899.6470764384.

The spelling of 728142732 in words is "seven hundred twenty-eight million, one hundred forty-two thousand, seven hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 197 249 332 394 498 591 747 788 996 1182 1237 1494 1773 2364 2474 2988 3546 3711 4948 7092 7422 11133 14844 16351 22266 32702 44532 49053 65404 98106 102671 147159 196212 205342 243689 294318 308013 410684 487378 588636 616026 731067 924039 974756 1232052 1462134 1848078 2193201 2924268 3696156 4386402 8772804 20226187 40452374 60678561 80904748 121357122 182035683 242714244 364071366 728142732