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648319968 = 25322251111
BaseRepresentation
bin100110101001001…
…001001111100000
31200011221001210200
4212221021033200
52311432214333
6144155425200
722031425452
oct4651111740
91604831720
10648319968
11302a6142a
12161155200
13a44163aa
14621642d2
153bdb4c13
hex26a493e0

648319968 has 36 divisors (see below), whose sum is σ = 1843660728. Its totient is φ = 216106560.

The previous prime is 648319963. The next prime is 648319981. The reversal of 648319968 is 869913846.

It is a tau number, because it is divible by the number of its divisors (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648319961) 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 5 ways as a sum of consecutive naturals, for example, 1125268 + ... + 1125843.

It is an arithmetic number, because the mean of its divisors is an integer number (51212798).

Almost surely, 2648319968 is an apocalyptic number.

It is an amenable number.

648319968 is an abundant number, since it is smaller than the sum of its proper divisors (1195340760).

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

648319968 is a wasteful number, since it uses less digits than its factorization.

648319968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2251127 (or 2251116 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The square root of 648319968 is about 25462.1281121590. The cubic root of 648319968 is about 865.4921489055.

The spelling of 648319968 in words is "six hundred forty-eight million, three hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2251111 4502222 6753333 9004444 13506666 18008888 20259999 27013332 36017776 40519998 54026664 72035552 81039996 108053328 162079992 216106656 324159984 648319968