Search a number
-
+
64465440 = 25351310331
BaseRepresentation
bin1111010111101…
…0101000100000
311111022011221220
43311322220200
5113000343230
610221415040
71411642614
oct365725040
9144264856
1064465440
1133430926
121970a480
1310481640
1487c1344
1559d5d10
hex3d7aa20

64465440 has 96 divisors (see below), whose sum is σ = 218707776. Its totient is φ = 15866880.

The previous prime is 64465439. The next prime is 64465441. The reversal of 64465440 is 4456446.

64465440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (64465439) and next prime (64465441).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (64465441) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1075 + ... + 11405.

It is an arithmetic number, because the mean of its divisors is an integer number (2278206).

Almost surely, 264465440 is an apocalyptic number.

64465440 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64465440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109353888).

64465440 is an abundant number, since it is smaller than the sum of its proper divisors (154242336).

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

64465440 is a wasteful number, since it uses less digits than its factorization.

64465440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10362 (or 10354 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

The square root of 64465440 is about 8029.0373021926. The cubic root of 64465440 is about 400.9673254845.

The spelling of 64465440 in words is "sixty-four million, four hundred sixty-five thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 10331 20662 30993 41324 51655 61986 82648 103310 123972 134303 154965 165296 206620 247944 268606 309930 330592 402909 413240 495888 537212 619860 671515 805818 826480 991776 1074424 1239720 1343030 1611636 1652960 2014545 2148848 2479440 2686060 3223272 4029090 4297696 4958880 5372120 6446544 8058180 10744240 12893088 16116360 21488480 32232720 64465440