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648999680 = 2857113641
BaseRepresentation
bin100110101011101…
…111001100000000
31200020012121012012
4212223233030000
52312120442210
6144222152052
722040256230
oct4653571400
91606177165
10648999680
1130338607a
12161422628
13a45c38a4
146229dcc0
153be9b305
hex26aef300

648999680 has 144 divisors (see below), whose sum is σ = 1795155264. Its totient is φ = 220200960.

The previous prime is 648999677. The next prime is 648999691. The reversal of 648999680 is 86999846.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1012160 + ... + 1012800.

It is an arithmetic number, because the mean of its divisors is an integer number (12466356).

Almost surely, 2648999680 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 648999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (897577632).

648999680 is an abundant number, since it is smaller than the sum of its proper divisors (1146155584).

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

648999680 is a wasteful number, since it uses less digits than its factorization.

648999680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 59.

The square root of 648999680 is about 25475.4721251638. The cubic root of 648999680 is about 865.7945098579.

The spelling of 648999680 in words is "six hundred forty-eight million, nine hundred ninety-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 113 128 140 160 224 226 256 280 320 448 452 560 565 640 641 791 896 904 1120 1130 1280 1282 1582 1792 1808 2240 2260 2564 3164 3205 3616 3955 4480 4487 4520 5128 6328 6410 7232 7910 8960 8974 9040 10256 12656 12820 14464 15820 17948 18080 20512 22435 25312 25640 28928 31640 35896 36160 41024 44870 50624 51280 63280 71792 72320 72433 82048 89740 101248 102560 126560 143584 144640 144866 164096 179480 202496 205120 253120 287168 289732 358960 362165 410240 506240 507031 574336 579464 717920 724330 820480 1012480 1014062 1148672 1158928 1435840 1448660 2028124 2317856 2535155 2871680 2897320 4056248 4635712 5070310 5743360 5794640 8112496 9271424 10140620 11589280 16224992 18542848 20281240 23178560 32449984 40562480 46357120 64899968 81124960 92714240 129799936 162249920 324499840 648999680