Search a number
-
+
64262256 = 24319312273
BaseRepresentation
bin1111010100100…
…1000001110000
311110220212020120
43311021001300
5112422343011
610213210240
71410135342
oct365110160
9143825216
1064262256
1133302203
1219630980
1310410006
14876b292
155995a06
hex3d49070

64262256 has 80 divisors (see below), whose sum is σ = 180464640. Its totient is φ = 19630080.

The previous prime is 64262251. The next prime is 64262267. The reversal of 64262256 is 65226246.

It is a super-5 number, since 5×642622565 (a number of 40 digits) contains 55555 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64262251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27136 + ... + 29408.

It is an arithmetic number, because the mean of its divisors is an integer number (2255808).

Almost surely, 264262256 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 64262256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90232320).

64262256 is an abundant number, since it is smaller than the sum of its proper divisors (116202384).

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

64262256 is a wasteful number, since it uses less digits than its factorization.

64262256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 2328 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 64262256 is about 8016.3742427609. The cubic root of 64262256 is about 400.5456220697.

The spelling of 64262256 in words is "sixty-four million, two hundred sixty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 31 38 48 57 62 76 93 114 124 152 186 228 248 304 372 456 496 589 744 912 1178 1488 1767 2273 2356 3534 4546 4712 6819 7068 9092 9424 13638 14136 18184 27276 28272 36368 43187 54552 70463 86374 109104 129561 140926 172748 211389 259122 281852 345496 422778 518244 563704 690992 845556 1036488 1127408 1338797 1691112 2072976 2677594 3382224 4016391 5355188 8032782 10710376 16065564 21420752 32131128 64262256