Search a number
-
+
245726528 = 2647151541
BaseRepresentation
bin11101010010101…
…11110101000000
3122010101012102112
432221113311000
51000401222103
640214434452
76042432605
oct1651276500
9563335375
10245726528
11116784a83
126a362a28
133bba7518
14248c66ac
151688ccd8
hexea57d40

245726528 has 56 divisors (see below), whose sum is σ = 502212864. Its totient is φ = 119232000.

The previous prime is 245726519. The next prime is 245726557. The reversal of 245726528 is 825627542.

245726528 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 453938 + ... + 454478.

Almost surely, 2245726528 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 245726528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251106432).

245726528 is an abundant number, since it is smaller than the sum of its proper divisors (256486336).

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

245726528 is a wasteful number, since it uses less digits than its factorization.

245726528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751 (or 741 counting only the distinct ones).

The product of its digits is 268800, while the sum is 41.

The square root of 245726528 is about 15675.6667481801. Note that the first 3 decimals coincide. The cubic root of 245726528 is about 626.3503841323.

The spelling of 245726528 in words is "two hundred forty-five million, seven hundred twenty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 32 47 64 94 151 188 302 376 541 604 752 1082 1208 1504 2164 2416 3008 4328 4832 7097 8656 9664 14194 17312 25427 28388 34624 50854 56776 81691 101708 113552 163382 203416 227104 326764 406832 454208 653528 813664 1307056 1627328 2614112 3839477 5228224 7678954 15357908 30715816 61431632 122863264 245726528