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643254864 = 24376832803
BaseRepresentation
bin100110010101110…
…100101001010000
31122211101201210020
4212111310221100
52304133123424
6143455103440
721640401420
oct4625645120
91584351706
10643254864
1130011199a
1215b511b80
13a3361aa5
1461606480
153b714079
hex26574a50

643254864 has 80 divisors (see below), whose sum is σ = 1902592512. Its totient is φ = 183452544.

The previous prime is 643254853. The next prime is 643254881. The reversal of 643254864 is 468452346.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 228087 + ... + 230889.

Almost surely, 2643254864 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 643254864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951296256).

643254864 is an abundant number, since it is smaller than the sum of its proper divisors (1259337648).

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

643254864 is a wasteful number, since it uses less digits than its factorization.

643254864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3504 (or 3498 counting only the distinct ones).

The product of its digits is 552960, while the sum is 42.

The square root of 643254864 is about 25362.4695958418. The cubic root of 643254864 is about 863.2323213644.

The spelling of 643254864 in words is "six hundred forty-three million, two hundred fifty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 683 1366 2049 2732 2803 4098 4781 5464 5606 8196 8409 9562 10928 11212 14343 16392 16818 19124 19621 22424 28686 32784 33636 38248 39242 44848 57372 58863 67272 76496 78484 114744 117726 134544 156968 229488 235452 313936 470904 941808 1914449 3828898 5743347 7657796 11486694 13401143 15315592 22973388 26802286 30631184 40203429 45946776 53604572 80406858 91893552 107209144 160813716 214418288 321627432 643254864