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256239100 = 225213533719
BaseRepresentation
bin11110100010111…
…10010111111100
3122212011021222001
433101132113330
51011044122400
641232032044
76230665525
oct1721362774
9585137861
10256239100
11121705257
1271992624
1341118490
142606184c
1517767a6a
hexf45e5fc

256239100 has 72 divisors (see below), whose sum is σ = 610273440. Its totient is φ = 92801280.

The previous prime is 256239089. The next prime is 256239119. The reversal of 256239100 is 1932652.

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, 67041 + ... + 70759.

It is an arithmetic number, because the mean of its divisors is an integer number (8476020).

Almost surely, 2256239100 is an apocalyptic number.

256239100 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 256239100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305136720).

256239100 is an abundant number, since it is smaller than the sum of its proper divisors (354034340).

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

256239100 is a wasteful number, since it uses less digits than its factorization.

256239100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799 (or 3792 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 28.

The square root of 256239100 is about 16007.4701311606. The cubic root of 256239100 is about 635.1580403128.

The spelling of 256239100 in words is "two hundred fifty-six million, two hundred thirty-nine thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 53 65 100 106 130 212 260 265 325 530 650 689 1060 1300 1325 1378 2650 2756 3445 3719 5300 6890 7438 13780 14876 17225 18595 34450 37190 48347 68900 74380 92975 96694 185950 193388 197107 241735 371900 394214 483470 788428 966940 985535 1208675 1971070 2417350 2562391 3942140 4834700 4927675 5124782 9855350 10249564 12811955 19710700 25623910 51247820 64059775 128119550 256239100