Search a number
-
+
256024412 = 227229311453
BaseRepresentation
bin11110100001010…
…01111101011100
3122211202101110122
433100221331130
51011020240122
641223254112
76226112600
oct1720517534
9584671418
10256024412
11121578a26
12718aa338
1341071847
1426007500
1517724142
hexf429f5c

256024412 has 72 divisors (see below), whose sum is σ = 556940160. Its totient is φ = 102453120.

The previous prime is 256024387. The next prime is 256024421. The reversal of 256024412 is 214420652.

It is a congruent number.

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, 175478 + ... + 176930.

It is an arithmetic number, because the mean of its divisors is an integer number (7735280).

Almost surely, 2256024412 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 256024412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278470080).

256024412 is an abundant number, since it is smaller than the sum of its proper divisors (300915748).

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

256024412 is a wasteful number, since it uses less digits than its factorization.

256024412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1531 (or 1522 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 256024412 is about 16000.7628568140. The cubic root of 256024412 is about 634.9806032887.

The spelling of 256024412 in words is "two hundred fifty-six million, twenty-four thousand, four hundred twelve".

Divisors: 1 2 4 7 14 28 29 31 49 58 62 98 116 124 196 203 217 406 434 812 868 899 1421 1453 1519 1798 2842 2906 3038 3596 5684 5812 6076 6293 10171 12586 20342 25172 40684 42137 44051 45043 71197 84274 88102 90086 142394 168548 176204 180172 284788 294959 315301 589918 630602 1179836 1261204 1306247 2064713 2207107 2612494 4129426 4414214 5224988 8258852 8828428 9143729 18287458 36574916 64006103 128012206 256024412