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64864480 = 2551921123
BaseRepresentation
bin1111011101110…
…0000011100000
311112001110100011
43313130003200
5113101130410
610234134304
71415224162
oct367340340
9145043304
1064864480
113368370a
1219881394
1310591165
148886932
155a6418a
hex3ddc0e0

64864480 has 72 divisors (see below), whose sum is σ = 161876232. Its totient is φ = 24558336.

The previous prime is 64864477. The next prime is 64864507. The reversal of 64864480 is 8446846.

64864480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 57199 + ... + 58321.

It is an arithmetic number, because the mean of its divisors is an integer number (2248281).

Almost surely, 264864480 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 64864480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80938116).

64864480 is an abundant number, since it is smaller than the sum of its proper divisors (97011752).

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

64864480 is a wasteful number, since it uses less digits than its factorization.

64864480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1176 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 40.

The square root of 64864480 is about 8053.8487693773. The cubic root of 64864480 is about 401.7929513062.

The spelling of 64864480 in words is "sixty-four million, eight hundred sixty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 361 380 608 722 760 1123 1444 1520 1805 2246 2888 3040 3610 4492 5615 5776 7220 8984 11230 11552 14440 17968 21337 22460 28880 35936 42674 44920 57760 85348 89840 106685 170696 179680 213370 341392 405403 426740 682784 810806 853480 1621612 1706960 2027015 3243224 3413920 4054030 6486448 8108060 12972896 16216120 32432240 64864480