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64485824 = 2613179433
BaseRepresentation
bin1111010111111…
…1100111000000
311111100012220212
43311333213000
5113002021244
610222053252
71412056214
oct365774700
9144305825
1064485824
1133445177
121971a228
131048a9c0
1487c8944
1559dbd9e
hex3d7f9c0

64485824 has 56 divisors (see below), whose sum is σ = 138897360. Its totient is φ = 29528064.

The previous prime is 64485809. The next prime is 64485851. The reversal of 64485824 is 42858446.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148712 + ... + 149144.

It is an arithmetic number, because the mean of its divisors is an integer number (2480310).

Almost surely, 264485824 is an apocalyptic number.

64485824 is a gapful number since it is divisible by the number (64) 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 64485824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69448680).

64485824 is an abundant number, since it is smaller than the sum of its proper divisors (74411536).

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

64485824 is a wasteful number, since it uses less digits than its factorization.

64485824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 637 (or 627 counting only the distinct ones).

The product of its digits is 245760, while the sum is 41.

The square root of 64485824 is about 8030.3065943960. The cubic root of 64485824 is about 401.0095830447.

It can be divided in two parts, 644 and 85824, that added together give a palindrome (86468).

The spelling of 64485824 in words is "sixty-four million, four hundred eighty-five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 179 208 358 416 433 716 832 866 1432 1732 2327 2864 3464 4654 5629 5728 6928 9308 11258 11456 13856 18616 22516 27712 37232 45032 74464 77507 90064 148928 155014 180128 310028 360256 620056 1007591 1240112 2015182 2480224 4030364 4960448 8060728 16121456 32242912 64485824