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256243464 = 2332101167211
BaseRepresentation
bin11110100010111…
…11011100001000
3122212011111221200
433101133130020
51011044242324
641232104200
76231014331
oct1721373410
9585144850
10256243464
11121708564
1271995060
134111a469
1426063288
1517768ec9
hexf45f708

256243464 has 96 divisors (see below), whose sum is σ = 708402240. Its totient is φ = 83664000.

The previous prime is 256243459. The next prime is 256243487. The reversal of 256243464 is 464342652.

256243464 is a `hidden beast` number, since 2 + 562 + 4 + 34 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1214319 + ... + 1214529.

It is an arithmetic number, because the mean of its divisors is an integer number (7379190).

Almost surely, 2256243464 is an apocalyptic number.

256243464 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 256243464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354201120).

256243464 is an abundant number, since it is smaller than the sum of its proper divisors (452158776).

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

256243464 is a wasteful number, since it uses less digits than its factorization.

256243464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 484 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 256243464 is about 16007.6064419388. The cubic root of 256243464 is about 635.1616460778.

The spelling of 256243464 in words is "two hundred fifty-six million, two hundred forty-three thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 101 167 202 211 303 334 404 422 501 606 633 668 808 844 909 1002 1212 1266 1336 1503 1688 1818 1899 2004 2424 2532 3006 3636 3798 4008 5064 6012 7272 7596 12024 15192 16867 21311 33734 35237 42622 50601 63933 67468 70474 85244 101202 105711 127866 134936 140948 151803 170488 191799 202404 211422 255732 281896 303606 317133 383598 404808 422844 511464 607212 634266 767196 845688 1214424 1268532 1534392 2537064 3558937 7117874 10676811 14235748 21353622 28471496 32030433 42707244 64060866 85414488 128121732 256243464