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415380864 = 2731081721
BaseRepresentation
bin11000110000100…
…011010110000000
31001221121112102110
4120300203112000
51322314141424
6105115015320
713202451633
oct3060432600
91057545373
10415380864
111a3520878
12b713a540
13680983c2
143d249c1a
1526700c29
hex18c23580

415380864 has 32 divisors (see below), whose sum is σ = 1103356440. Its totient is φ = 138460160.

The previous prime is 415380863. The next prime is 415380871. The reversal of 415380864 is 468083514.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (415380863) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 540477 + ... + 541244.

Almost surely, 2415380864 is an apocalyptic number.

It is an amenable number.

415380864 is an abundant number, since it is smaller than the sum of its proper divisors (687975576).

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

415380864 is a wasteful number, since it uses less digits than its factorization.

415380864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081738 (or 1081726 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 415380864 is about 20380.8945829176. The cubic root of 415380864 is about 746.1317058128.

The spelling of 415380864 in words is "four hundred fifteen million, three hundred eighty thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1081721 2163442 3245163 4326884 6490326 8653768 12980652 17307536 25961304 34615072 51922608 69230144 103845216 138460288 207690432 415380864