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256464984 = 23331615651
BaseRepresentation
bin11110100100101…
…01100001011000
3122212120202211010
433102111201120
51011123334414
641240533520
76232626216
oct1722254130
9585522733
10256464984
11121849a36
1271a812a0
1341197239
14260bdcb6
15177ae959
hexf495858

256464984 has 64 divisors (see below), whose sum is σ = 672814080. Its totient is φ = 81360000.

The previous prime is 256464979. The next prime is 256464991. The reversal of 256464984 is 489464652.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42559 + ... + 48209.

It is an arithmetic number, because the mean of its divisors is an integer number (10512720).

Almost surely, 2256464984 is an apocalyptic number.

256464984 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 256464984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (336407040).

256464984 is an abundant number, since it is smaller than the sum of its proper divisors (416349096).

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

256464984 is a wasteful number, since it uses less digits than its factorization.

256464984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5752 (or 5748 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 48.

The square root of 256464984 is about 16014.5241577763. The cubic root of 256464984 is about 635.3446237301.

The spelling of 256464984 in words is "two hundred fifty-six million, four hundred sixty-four thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 24 31 61 62 93 122 124 183 186 244 248 366 372 488 732 744 1464 1891 3782 5651 5673 7564 11302 11346 15128 16953 22604 22692 33906 45208 45384 67812 135624 175181 344711 350362 525543 689422 700724 1034133 1051086 1378844 1401448 2068266 2102172 2757688 4136532 4204344 8273064 10686041 21372082 32058123 42744164 64116246 85488328 128232492 256464984