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728207046 = 232724123981
BaseRepresentation
bin101011011001111…
…000111011000110
31212202020202021100
4223121320323012
52442410111141
6200132000530
724021441420
oct5331707306
91782222240
10728207046
11344065806
12183a60146
13b7b37258
146c9db810
1543de50b6
hex2b678ec6

728207046 has 48 divisors (see below), whose sum is σ = 1810736928. Its totient is φ = 207187200.

The previous prime is 728207017. The next prime is 728207063. The reversal of 728207046 is 640702827.

It is a super-2 number, since 2×7282070462 = 1060571003688092232, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 728207046.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18376 + ... + 42356.

It is an arithmetic number, because the mean of its divisors is an integer number (37723686).

Almost surely, 2728207046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 728207046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (905368464).

728207046 is an abundant number, since it is smaller than the sum of its proper divisors (1082529882).

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

728207046 is a wasteful number, since it uses less digits than its factorization.

728207046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24237 (or 24234 counting only the distinct ones).

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

The square root of 728207046 is about 26985.3116713519. The cubic root of 728207046 is about 899.6735630946.

The spelling of 728207046 in words is "seven hundred twenty-eight million, two hundred seven thousand, forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 241 482 723 1446 1687 2169 3374 4338 5061 10122 15183 23981 30366 47962 71943 143886 167867 215829 335734 431658 503601 1007202 1510803 3021606 5779421 11558842 17338263 34676526 40455947 52014789 80911894 104029578 121367841 242735682 364103523 728207046