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64266256 = 2417349677
BaseRepresentation
bin1111010100101…
…0000000010000
311110221001201201
43311022000100
5112423010011
610213240544
71410153115
oct365120020
9143831651
1064266256
113330520a
1219633154
1310411a92
14876c90c
155996cc1
hex3d4a010

64266256 has 40 divisors (see below), whose sum is σ = 132413400. Its totient is φ = 30111744.

The previous prime is 64266221. The next prime is 64266259. The reversal of 64266256 is 65266246.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 46457856 + 17808400 = 6816^2 + 4220^2 .

It is not an unprimeable number, because it can be changed into a prime (64266259) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 94590 + ... + 95266.

It is an arithmetic number, because the mean of its divisors is an integer number (3310335).

Almost surely, 264266256 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 64266256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66206700).

64266256 is an abundant number, since it is smaller than the sum of its proper divisors (68147144).

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

64266256 is a wasteful number, since it uses less digits than its factorization.

64266256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1045 counting only the distinct ones).

The product of its digits is 103680, while the sum is 37.

The square root of 64266256 is about 8016.6237282287. The cubic root of 64266256 is about 400.5539325427.

It can be divided in two parts, 64 and 266256, that multiplied together give a square (17040384 = 41282).

The spelling of 64266256 in words is "sixty-four million, two hundred sixty-six thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 349 677 698 1354 1396 2708 2792 5416 5584 5933 10832 11509 11866 23018 23732 46036 47464 92072 94928 184144 236273 472546 945092 1890184 3780368 4016641 8033282 16066564 32133128 64266256