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64000000 = 21256
BaseRepresentation
bin1111010000100…
…1000000000000
311110102112111101
43310021000000
5112341000000
610203424144
71404663631
oct364110000
9143375441
1064000000
1133143169
1219525054
131034a82c
1486dd888
155942e6a
hex3d09000

64000000 has 91 divisors (see below), whose sum is σ = 159978421. Its totient is φ = 25600000.

The previous prime is 63999979. The next prime is 64000031. The reversal of 64000000 is 46.

The square root of 64000000 is 8000.

The cubic root of 64000000 is 400.

It is a perfect power (a square, a cube, a 6-th power), and thus also a powerful number.

It can be written as a sum of positive squares in 3 ways, for example, as 56070144 + 7929856 = 7488^2 + 2816^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a Duffinian number.

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 6 ways as a sum of consecutive naturals, for example, 12799998 + ... + 12800002.

Almost surely, 264000000 is an apocalyptic number.

64000000 is the 8000-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64000000

64000000 is an abundant number, since it is smaller than the sum of its proper divisors (95978421).

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

64000000 is an frugal number, since it uses more digits than its factorization.

64000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 10.

Adding to 64000000 its reverse (46), we get a palindrome (64000046).

The spelling of 64000000 in words is "sixty-four million", and thus it is an aban number and an eban number.

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 625 640 800 1000 1024 1250 1280 1600 2000 2048 2500 2560 3125 3200 4000 4096 5000 5120 6250 6400 8000 10000 10240 12500 12800 15625 16000 20000 20480 25000 25600 31250 32000 40000 50000 51200 62500 64000 80000 100000 102400 125000 128000 160000 200000 250000 256000 320000 400000 500000 512000 640000 800000 1000000 1280000 1600000 2000000 2560000 3200000 4000000 6400000 8000000 12800000 16000000 32000000 64000000