Search a number
-
+
648742656 = 283844717
BaseRepresentation
bin100110101010110…
…000011100000000
31200012201112121210
4212222300130000
52312034231111
6144212450120
722035136002
oct4652603400
91605645553
10648742656
1130321aa61
12161319940
13a45338c3
1462234372
153be4a0a6
hex26ab0700

648742656 has 36 divisors (see below), whose sum is σ = 1726603592. Its totient is φ = 216247296.

The previous prime is 648742651. The next prime is 648742657. The reversal of 648742656 is 656247846.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648742651) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 421591 + ... + 423126.

Almost surely, 2648742656 is an apocalyptic number.

It is an amenable number.

648742656 is an abundant number, since it is smaller than the sum of its proper divisors (1077860936).

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

648742656 is an equidigital number, since it uses as much as digits as its factorization.

648742656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844736 (or 844722 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The square root of 648742656 is about 25470.4270871142. The cubic root of 648742656 is about 865.6802009413.

The spelling of 648742656 in words is "six hundred forty-eight million, seven hundred forty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 844717 1689434 2534151 3378868 5068302 6757736 10136604 13515472 20273208 27030944 40546416 54061888 81092832 108123776 162185664 216247552 324371328 648742656