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64084248 = 23323312689
BaseRepresentation
bin1111010001110…
…1100100011000
311110120211001200
43310131210120
5112401143443
610205314200
71405464354
oct364354430
9143524050
1064084248
11331a0498
1219565960
1310379c97
148722464
15595cdd3
hex3d1d918

64084248 has 48 divisors (see below), whose sum is σ = 174150600. Its totient is φ = 21288960.

The previous prime is 64084243. The next prime is 64084277. The reversal of 64084248 is 84248046.

64084248 is a `hidden beast` number, since 6 + 408 + 4 + 248 = 666.

64084248 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64084243) by changing a digit.

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, 22488 + ... + 25176.

Almost surely, 264084248 is an apocalyptic number.

It is an amenable number.

64084248 is an abundant number, since it is smaller than the sum of its proper divisors (110066352).

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

64084248 is a wasteful number, since it uses less digits than its factorization.

64084248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3032 (or 3025 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The square root of 64084248 is about 8005.2637682965. The cubic root of 64084248 is about 400.1754397077.

The spelling of 64084248 in words is "sixty-four million, eighty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 331 662 993 1324 1986 2648 2689 2979 3972 5378 5958 7944 8067 10756 11916 16134 21512 23832 24201 32268 48402 64536 96804 193608 890059 1780118 2670177 3560236 5340354 7120472 8010531 10680708 16021062 21361416 32042124 64084248