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438020064 = 25321520903
BaseRepresentation
bin11010000110111…
…010011111100000
31010112012201120100
4122012322133200
51344113120224
6111244142400
713566052266
oct3206723740
91115181510
10438020064
11205283a59
12102837a00
136c993b91
1442260436
15286c3ac9
hex1a1ba7e0

438020064 has 36 divisors (see below), whose sum is σ = 1245620376. Its totient is φ = 146006592.

The previous prime is 438020039. The next prime is 438020081. The reversal of 438020064 is 460020834.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 760164 + ... + 760739.

It is an arithmetic number, because the mean of its divisors is an integer number (34600566).

Almost surely, 2438020064 is an apocalyptic number.

It is an amenable number.

438020064 is an abundant number, since it is smaller than the sum of its proper divisors (807600312).

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

438020064 is a wasteful number, since it uses less digits than its factorization.

438020064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520919 (or 1520908 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 438020064 is about 20928.9288784687. The cubic root of 438020064 is about 759.4479277824.

Adding to 438020064 its reverse (460020834), we get a palindrome (898040898).

The spelling of 438020064 in words is "four hundred thirty-eight million, twenty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1520903 3041806 4562709 6083612 9125418 12167224 13688127 18250836 24334448 27376254 36501672 48668896 54752508 73003344 109505016 146006688 219010032 438020064