Search a number
-
+
64452256 = 25111923419
BaseRepresentation
bin1111010111011…
…1011010100000
311111021111212121
43311313122200
5112444433011
610221234024
71411556311
oct365673240
9144244777
1064452256
1133421a30
1219702914
131047863b
1487ba608
1559d1e71
hex3d776a0

64452256 has 96 divisors (see below), whose sum is σ = 152409600. Its totient is φ = 26484480.

The previous prime is 64452251. The next prime is 64452281. The reversal of 64452256 is 65225446.

It is not an unprimeable number, because it can be changed into a prime (64452251) 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, 153615 + ... + 154033.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 264452256 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 64452256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76204800).

64452256 is an abundant number, since it is smaller than the sum of its proper divisors (87957344).

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

64452256 is a wasteful number, since it uses less digits than its factorization.

64452256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482 (or 474 counting only the distinct ones).

The product of its digits is 57600, while the sum is 34.

The square root of 64452256 is about 8028.2162402367. The cubic root of 64452256 is about 400.9399893199.

It can be divided in two parts, 644 and 52256, that added together give a square (52900 = 2302).

The spelling of 64452256 in words is "sixty-four million, four hundred fifty-two thousand, two hundred fifty-six".

Divisors: 1 2 4 8 11 16 19 22 23 32 38 44 46 76 88 92 152 176 184 209 253 304 352 368 418 419 437 506 608 736 836 838 874 1012 1672 1676 1748 2024 3344 3352 3496 4048 4609 4807 6688 6704 6992 7961 8096 9218 9614 9637 13408 13984 15922 18436 19228 19274 31844 36872 38456 38548 63688 73744 76912 77096 87571 106007 127376 147488 153824 154192 175142 183103 212014 254752 308384 350284 366206 424028 700568 732412 848056 1401136 1464824 1696112 2014133 2802272 2929648 3392224 4028266 5859296 8056532 16113064 32226128 64452256