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648693640 = 23574215503
BaseRepresentation
bin100110101010100…
…100011110001000
31200012122001101101
4212222210132020
52312031144030
6144211431144
722034543050
oct4652443610
91605561341
10648693640
11303197151
121612b54b4
13a45174ba
1462220560
153be3a7ca
hex26aa4788

648693640 has 64 divisors (see below), whose sum is σ = 1672335360. Its totient is φ = 221840640.

The previous prime is 648693637. The next prime is 648693641. The reversal of 648693640 is 46396846.

It is not an unprimeable number, because it can be changed into a prime (648693641) 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 15 ways as a sum of consecutive naturals, for example, 115129 + ... + 120631.

It is an arithmetic number, because the mean of its divisors is an integer number (26130240).

Almost surely, 2648693640 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 648693640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (836167680).

648693640 is an abundant number, since it is smaller than the sum of its proper divisors (1023641720).

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

648693640 is a wasteful number, since it uses less digits than its factorization.

648693640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5942 (or 5938 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The square root of 648693640 is about 25469.4648549984. The cubic root of 648693640 is about 865.6583981258.

It can be divided in two parts, 6 and 48693640, that added together give a triangular number (48693646 = T9868).

The spelling of 648693640 in words is "six hundred forty-eight million, six hundred ninety-three thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 140 280 421 842 1684 2105 2947 3368 4210 5503 5894 8420 11006 11788 14735 16840 22012 23576 27515 29470 38521 44024 55030 58940 77042 110060 117880 154084 192605 220120 308168 385210 770420 1540840 2316763 4633526 9267052 11583815 16217341 18534104 23167630 32434682 46335260 64869364 81086705 92670520 129738728 162173410 324346820 648693640