Search a number
-
+
256523028 = 223191517451
BaseRepresentation
bin11110100101000…
…11101100010100
3122212200201102220
433102203230110
51011132214103
641242102340
76233260356
oct1722435424
9585621386
10256523028
11121889603
1271aaa9b0
13411b7798
14260d70d6
15177c1c53
hexf4a3b14

256523028 has 48 divisors (see below), whose sum is σ = 634314240. Its totient is φ = 80460000.

The previous prime is 256523023. The next prime is 256523053. The reversal of 256523028 is 820325652.

256523028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 256523028.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256523023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30703 + ... + 38153.

It is an arithmetic number, because the mean of its divisors is an integer number (13214880).

Almost surely, 2256523028 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 256523028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317157120).

256523028 is an abundant number, since it is smaller than the sum of its proper divisors (377791212).

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

256523028 is a wasteful number, since it uses less digits than its factorization.

256523028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7628 (or 7626 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 256523028 is about 16016.3362851808. The cubic root of 256523028 is about 635.3925512107.

It can be divided in two parts, 25652 and 3028, that added together give a triangular number (28680 = T239).

The spelling of 256523028 in words is "two hundred fifty-six million, five hundred twenty-three thousand, twenty-eight".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 151 228 302 453 604 906 1812 2869 5738 7451 8607 11476 14902 17214 22353 29804 34428 44706 89412 141569 283138 424707 566276 849414 1125101 1698828 2250202 3375303 4500404 6750606 13501212 21376919 42753838 64130757 85507676 128261514 256523028