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256425024 = 26353113223
BaseRepresentation
bin11110100100010…
…11110001000000
3122212111202000010
433102023301000
51011121100044
641240024520
76232401552
oct1722136100
9585452003
10256425024
11121821a09
1271a62140
1341181cab
14260ad4d2
15177a2bb9
hexf48bc40

256425024 has 112 divisors (see below), whose sum is σ = 700503552. Its totient is φ = 82747392.

The previous prime is 256425023. The next prime is 256425031. The reversal of 256425024 is 420524652.

It is a happy number.

256425024 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 256424982 and 256425000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256425023) 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, 1149777 + ... + 1149999.

It is an arithmetic number, because the mean of its divisors is an integer number (6254496).

Almost surely, 2256425024 is an apocalyptic number.

256425024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256425024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350251776).

256425024 is an abundant number, since it is smaller than the sum of its proper divisors (444078528).

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

256425024 is a wasteful number, since it uses less digits than its factorization.

256425024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 394 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 256425024 is about 16013.2764917115. The cubic root of 256425024 is about 635.3116241767.

Adding to 256425024 its reverse (420524652), we get a palindrome (676949676).

The spelling of 256425024 in words is "two hundred fifty-six million, four hundred twenty-five thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 64 96 106 113 159 192 212 223 226 318 339 424 446 452 636 669 678 848 892 904 1272 1338 1356 1696 1784 1808 2544 2676 2712 3392 3568 3616 5088 5352 5424 5989 7136 7232 10176 10704 10848 11819 11978 14272 17967 21408 21696 23638 23956 25199 35457 35934 42816 47276 47912 50398 70914 71868 75597 94552 95824 100796 141828 143736 151194 189104 191648 201592 283656 287472 302388 378208 383296 403184 567312 574944 604776 756416 806368 1134624 1149888 1209552 1335547 1612736 2269248 2419104 2671094 4006641 4838208 5342188 8013282 10684376 16026564 21368752 32053128 42737504 64106256 85475008 128212512 256425024