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64078480 = 2457910139
BaseRepresentation
bin1111010001110…
…0001010010000
311110120112011001
43310130022100
5112401002410
610205231344
71405441504
oct364341220
9143515131
1064078480
1133197124
1219562554
131037747b
148720304
15595b33a
hex3d1c290

64078480 has 40 divisors (see below), whose sum is σ = 150883200. Its totient is φ = 25304448.

The previous prime is 64078459. The next prime is 64078481. The reversal of 64078480 is 8487046.

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

It is a super-2 number, since 2×640784802 = 8212103198220800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (64078481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1251 + ... + 11389.

It is an arithmetic number, because the mean of its divisors is an integer number (3772080).

Almost surely, 264078480 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 64078480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75441600).

64078480 is an abundant number, since it is smaller than the sum of its proper divisors (86804720).

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

64078480 is a wasteful number, since it uses less digits than its factorization.

64078480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10231 (or 10225 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 37.

The square root of 64078480 is about 8004.9034972322. The cubic root of 64078480 is about 400.1634332149.

The spelling of 64078480 in words is "sixty-four million, seventy-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 790 1264 1580 3160 6320 10139 20278 40556 50695 81112 101390 162224 202780 405560 800981 811120 1601962 3203924 4004905 6407848 8009810 12815696 16019620 32039240 64078480