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64080648 = 23328310723
BaseRepresentation
bin1111010001110…
…0101100001000
311110120122010100
43310130230020
5112401040043
610205245400
71405451022
oct364345410
9143518110
1064080648
1133198815
1219563860
1310378458
148721012
15595bcd3
hex3d1cb08

64080648 has 48 divisors (see below), whose sum is σ = 175659120. Its totient is φ = 21100896.

The previous prime is 64080631. The next prime is 64080659. The reversal of 64080648 is 84608046.

64080648 is a `hidden beast` number, since 6 + 4 + 0 + 8 + 0 + 648 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 615 + ... + 11337.

It is an arithmetic number, because the mean of its divisors is an integer number (3659565).

Almost surely, 264080648 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 64080648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87829560).

64080648 is an abundant number, since it is smaller than the sum of its proper divisors (111578472).

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

64080648 is a wasteful number, since it uses less digits than its factorization.

64080648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10818 (or 10811 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 64080648 is about 8005.0389130847. The cubic root of 64080648 is about 400.1679461420.

The spelling of 64080648 in words is "sixty-four million, eighty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 249 332 498 664 747 996 1494 1992 2988 5976 10723 21446 32169 42892 64338 85784 96507 128676 193014 257352 386028 772056 890009 1780018 2670027 3560036 5340054 7120072 8010081 10680108 16020162 21360216 32040324 64080648