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648441984 = 2731688651
BaseRepresentation
bin100110101001100…
…111000010000000
31200012011021011210
4212221213002000
52312000120414
6144202210120
722032444261
oct4651470200
91605137153
10648441984
11303035073
121611b3940
13a4459aa8
1462196968
153bddae59
hex26a67080

648441984 has 32 divisors (see below), whose sum is σ = 1722425040. Its totient is φ = 216147200.

The previous prime is 648441977. The next prime is 648442031. The reversal of 648441984 is 489144846.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×6484419842 = 840954013227712512, which contains 22 as substring.

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

It is an unprimeable number.

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, 843942 + ... + 844709.

Almost surely, 2648441984 is an apocalyptic number.

648441984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

648441984 is an abundant number, since it is smaller than the sum of its proper divisors (1073983056).

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

648441984 is a wasteful number, since it uses less digits than its factorization.

648441984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1688668 (or 1688656 counting only the distinct ones).

The product of its digits is 884736, while the sum is 48.

The square root of 648441984 is about 25464.5240285382. The cubic root of 648441984 is about 865.5464416781.

The spelling of 648441984 in words is "six hundred forty-eight million, four hundred forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 1688651 3377302 5065953 6754604 10131906 13509208 20263812 27018416 40527624 54036832 81055248 108073664 162110496 216147328 324220992 648441984