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256502260 = 22573139269
BaseRepresentation
bin11110100100111…
…10100111110100
3122212122122221201
433102132213310
51011131033020
641241422244
76233143000
oct1722364764
9585578851
10256502260
11121874a43
1271a9a984
13411ab1b1
14260cd700
15177baa0a
hexf49e9f4

256502260 has 96 divisors (see below), whose sum is σ = 635040000. Its totient is φ = 86986368.

The previous prime is 256502251. The next prime is 256502263. The reversal of 256502260 is 62205652.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256502263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 953406 + ... + 953674.

It is an arithmetic number, because the mean of its divisors is an integer number (6615000).

Almost surely, 2256502260 is an apocalyptic number.

256502260 is a gapful number since it is divisible by the number (20) 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 256502260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317520000).

256502260 is an abundant number, since it is smaller than the sum of its proper divisors (378537740).

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

256502260 is a wasteful number, since it uses less digits than its factorization.

256502260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 422 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 28.

The square root of 256502260 is about 16015.6879340227. The cubic root of 256502260 is about 635.3754037071.

The spelling of 256502260 in words is "two hundred fifty-six million, five hundred two thousand, two hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 139 140 196 245 269 278 343 490 538 556 686 695 973 980 1076 1345 1372 1390 1715 1883 1946 2690 2780 3430 3766 3892 4865 5380 6811 6860 7532 9415 9730 13181 13622 18830 19460 26362 27244 34055 37391 37660 47677 52724 65905 68110 74782 92267 95354 131810 136220 149564 184534 186955 190708 238385 261737 263620 369068 373910 461335 476770 523474 747820 922670 953540 1046948 1308685 1832159 1845340 2617370 3664318 5234740 7328636 9160795 12825113 18321590 25650226 36643180 51300452 64125565 128251130 256502260