Search a number
-
+
256035724 = 227233791049
BaseRepresentation
bin11110100001011…
…00101110001100
3122211202221222121
433100230232030
51011021120344
641223422324
76226160560
oct1720545614
9584687877
10256035724
1112158647a
12718b49a4
1341076a39
142600b6a0
1517727684
hexf42cb8c

256035724 has 48 divisors (see below), whose sum is σ = 536256000. Its totient is φ = 104582016.

The previous prime is 256035719. The next prime is 256035733. The reversal of 256035724 is 427530652.

256035724 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 256035724.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243552 + ... + 244600.

It is an arithmetic number, because the mean of its divisors is an integer number (11172000).

Almost surely, 2256035724 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 256035724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268128000).

256035724 is an abundant number, since it is smaller than the sum of its proper divisors (280220276).

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

256035724 is a wasteful number, since it uses less digits than its factorization.

256035724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1462 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 34.

The square root of 256035724 is about 16001.1163360561. The cubic root of 256035724 is about 634.9899549943.

The spelling of 256035724 in words is "two hundred fifty-six million, thirty-five thousand, seven hundred twenty-four".

Divisors: 1 2 4 7 14 23 28 46 92 161 322 379 644 758 1049 1516 2098 2653 4196 5306 7343 8717 10612 14686 17434 24127 29372 34868 48254 61019 96508 122038 168889 244076 337778 397571 675556 795142 1590284 2782997 5565994 9144133 11131988 18288266 36576532 64008931 128017862 256035724