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648945216 = 26331722091
BaseRepresentation
bin100110101011100…
…001111001000000
31200020002211111000
4212223201321000
52312112221331
6144221052000
722036641363
oct4653417100
91606084430
10648945216
11303349167
121613b7000
13a45a4b6a
14622880da
153be8a0e6
hex26ae1e40

648945216 has 112 divisors (see below), whose sum is σ = 2020092480. Its totient is φ = 203581440.

The previous prime is 648945163. The next prime is 648945221. The reversal of 648945216 is 612549846.

It is a super-2 number, since 2×6489452162 = 842259786738573312, which contains 22 as substring.

It is an unprimeable number.

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, 18331 + ... + 40421.

It is an arithmetic number, because the mean of its divisors is an integer number (18036540).

Almost surely, 2648945216 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 648945216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1010046240).

648945216 is an abundant number, since it is smaller than the sum of its proper divisors (1371147264).

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

648945216 is a wasteful number, since it uses less digits than its factorization.

648945216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22129 (or 22113 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 648945216 is about 25474.4031529691. The cubic root of 648945216 is about 865.7702900456.

The spelling of 648945216 in words is "six hundred forty-eight million, nine hundred forty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 136 144 153 192 204 216 272 288 306 408 432 459 544 576 612 816 864 918 1088 1224 1632 1728 1836 2448 3264 3672 4896 7344 9792 14688 22091 29376 44182 66273 88364 132546 176728 198819 265092 353456 375547 397638 530184 596457 706912 751094 795276 1060368 1126641 1192914 1413824 1502188 1590552 2120736 2253282 2385828 3004376 3181104 3379923 4241472 4506564 4771656 6008752 6362208 6759846 9013128 9543312 10139769 12017504 12724416 13519692 18026256 19086624 20279538 24035008 27039384 36052512 38173248 40559076 54078768 72105024 81118152 108157536 162236304 216315072 324472608 648945216