Search a number
-
+
256260024 = 2335612161
BaseRepresentation
bin11110100011000…
…11011110111000
3122212012100200000
433101203132320
51011100310044
641232313000
76231113526
oct1721433670
9585170600
10256260024
11121719a49
12719a2760
1341124b67
1426069316
151776dd69
hexf4637b8

256260024 has 96 divisors (see below), whose sum is σ = 731880240. Its totient is φ = 83980800.

The previous prime is 256260001. The next prime is 256260029. The reversal of 256260024 is 420062652.

256260024 is a `hidden beast` number, since 2 + 56 + 2 + 600 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 256260024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256260029) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117504 + ... + 119664.

Almost surely, 2256260024 is an apocalyptic number.

256260024 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 256260024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365940120).

256260024 is an abundant number, since it is smaller than the sum of its proper divisors (475620216).

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

256260024 is a wasteful number, since it uses less digits than its factorization.

256260024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2243 (or 2227 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 256260024 is about 16008.1236876781. The cubic root of 256260024 is about 635.1753284434.

The spelling of 256260024 in words is "two hundred fifty-six million, two hundred sixty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 61 72 81 108 122 162 183 216 243 244 324 366 486 488 549 648 732 972 1098 1464 1647 1944 2161 2196 3294 4322 4392 4941 6483 6588 8644 9882 12966 13176 14823 17288 19449 19764 25932 29646 38898 39528 51864 58347 59292 77796 116694 118584 131821 155592 175041 233388 263642 350082 395463 466776 525123 527284 700164 790926 1050246 1054568 1186389 1400328 1581852 2100492 2372778 3163704 3559167 4200984 4745556 7118334 9491112 10677501 14236668 21355002 28473336 32032503 42710004 64065006 85420008 128130012 256260024