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648242560 = 275732953
BaseRepresentation
bin100110101000110…
…110010110000000
31200011210010121201
4212220312112000
52311422230220
6144154030544
722030654000
oct4650662600
91604703551
10648242560
11302a09259
12161118454
13a43ba0a4
1462144000
153bd9bd0a
hex26a36580

648242560 has 128 divisors (see below), whose sum is σ = 1807848000. Its totient is φ = 222179328.

The previous prime is 648242537. The next prime is 648242563. The reversal of 648242560 is 65242846.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648242563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 218044 + ... + 220996.

Almost surely, 2648242560 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 648242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903924000).

648242560 is an abundant number, since it is smaller than the sum of its proper divisors (1159605440).

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

648242560 is an equidigital number, since it uses as much as digits as its factorization.

648242560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2993 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 648242560 is about 25460.6080053089. The cubic root of 648242560 is about 865.4577015718.

The spelling of 648242560 in words is "six hundred forty-eight million, two hundred forty-two thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 280 320 343 392 448 490 560 640 686 784 896 980 1120 1372 1568 1715 1960 2240 2744 2953 3136 3430 3920 4480 5488 5906 6272 6860 7840 10976 11812 13720 14765 15680 20671 21952 23624 27440 29530 31360 41342 43904 47248 54880 59060 82684 94496 103355 109760 118120 144697 165368 188992 206710 219520 236240 289394 330736 377984 413420 472480 578788 661472 723485 826840 944960 1012879 1157576 1322944 1446970 1653680 1889920 2025758 2315152 2645888 2893940 3307360 4051516 4630304 5064395 5787880 6614720 8103032 9260608 10128790 11575760 13229440 16206064 18521216 20257580 23151520 32412128 40515160 46303040 64824256 81030320 92606080 129648512 162060640 324121280 648242560