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256485072 = 24331971777
BaseRepresentation
bin11110100100110…
…10011011010000
3122212121210101010
433102122123100
51011130010242
641241210520
76233041614
oct1722323320
9585553333
10256485072
11121863038
1271a90a40
13411a341c
14260c7344
15177b589c
hexf49a6d0

256485072 has 80 divisors (see below), whose sum is σ = 691400192. Its totient is φ = 81838080.

The previous prime is 256485071. The next prime is 256485101. The reversal of 256485072 is 270584652.

256485072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 256485072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (256485071) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143448 + ... + 145224.

Almost surely, 2256485072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 256485072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345700096).

256485072 is an abundant number, since it is smaller than the sum of its proper divisors (434915120).

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

256485072 is a wasteful number, since it uses less digits than its factorization.

256485072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1916 (or 1910 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 39.

The square root of 256485072 is about 16015.1513261661. The cubic root of 256485072 is about 635.3612114002.

The spelling of 256485072 in words is "two hundred fifty-six million, four hundred eighty-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 97 124 186 194 248 291 372 388 496 582 744 776 1164 1488 1552 1777 2328 3007 3554 4656 5331 6014 7108 9021 10662 12028 14216 18042 21324 24056 28432 36084 42648 48112 55087 72168 85296 110174 144336 165261 172369 220348 330522 344738 440696 517107 661044 689476 881392 1034214 1322088 1378952 2068428 2644176 2757904 4136856 5343439 8273712 10686878 16030317 21373756 32060634 42747512 64121268 85495024 128242536 256485072