Search a number
-
+
64449280 = 28577193
BaseRepresentation
bin1111010111011…
…0101100000000
311111021100210101
43311312230000
5112444334110
610221212144
71411544530
oct365665400
9144240711
1064449280
113341a775
1219701054
131047718c
1487b94c0
1559d113a
hex3d76b00

64449280 has 72 divisors (see below), whose sum is σ = 176454432. Its totient is φ = 22093824.

The previous prime is 64449271. The next prime is 64449293. The reversal of 64449280 is 8294446.

64449280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 7 ways as a sum of consecutive naturals, for example, 5364 + ... + 12556.

It is an arithmetic number, because the mean of its divisors is an integer number (2450756).

Almost surely, 264449280 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 64449280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88227216).

64449280 is an abundant number, since it is smaller than the sum of its proper divisors (112005152).

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

64449280 is an equidigital number, since it uses as much as digits as its factorization.

64449280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7221 (or 7207 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 64449280 is about 8028.0308918190. The cubic root of 64449280 is about 400.9338182622.

The spelling of 64449280 in words is "sixty-four million, four hundred forty-nine thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 7193 8960 14386 28772 35965 50351 57544 71930 100702 115088 143860 201404 230176 251755 287720 402808 460352 503510 575440 805616 920704 1007020 1150880 1611232 1841408 2014040 2301760 3222464 4028080 4603520 6444928 8056160 9207040 12889856 16112320 32224640 64449280