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64485040 = 2457111353
BaseRepresentation
bin1111010111111…
…1011010110000
311111100011211211
43311333122300
5113002010130
610222045504
71412054014
oct365773260
9144304754
1064485040
1133444624
1219719894
131048a539
1487c8544
1559dba2a
hex3d7f6b0

64485040 has 40 divisors (see below), whose sum is σ = 152052768. Its totient is φ = 25428480.

The previous prime is 64485037. The next prime is 64485041. The reversal of 64485040 is 4058446.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 64484993 and 64485011.

It is not an unprimeable number, because it can be changed into a prime (64485041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4 + ... + 11356.

Almost surely, 264485040 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 64485040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76026384).

64485040 is an abundant number, since it is smaller than the sum of its proper divisors (87567728).

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

64485040 is a wasteful number, since it uses less digits than its factorization.

64485040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11437 (or 11431 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 64485040 is about 8030.2577791750. The cubic root of 64485040 is about 401.0079579186.

The spelling of 64485040 in words is "sixty-four million, four hundred eighty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 142 284 355 568 710 1136 1420 2840 5680 11353 22706 45412 56765 90824 113530 181648 227060 454120 806063 908240 1612126 3224252 4030315 6448504 8060630 12897008 16121260 32242520 64485040