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648352896 = 2736189311
BaseRepresentation
bin100110101001010…
…001010010000000
31200011222201222020
4212221101102000
52311434243041
6144200241440
722031623452
oct4651212200
91604881866
10648352896
11302a84144
12161170280
13a4428389
14621722d2
153bdbe866
hex26a51480

648352896 has 128 divisors (see below), whose sum is σ = 1775779200. Its totient is φ = 209510400.

The previous prime is 648352891. The next prime is 648352909. The reversal of 648352896 is 698253846.

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

It is a super-2 number, since 2×6483528962 = 840722955503173632, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (648352891) 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, 2084581 + ... + 2084891.

It is an arithmetic number, because the mean of its divisors is an integer number (13873275).

Almost surely, 2648352896 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 648352896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887889600).

648352896 is an abundant number, since it is smaller than the sum of its proper divisors (1127426304).

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

648352896 is a wasteful number, since it uses less digits than its factorization.

648352896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 478 (or 466 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 51.

The square root of 648352896 is about 25462.7747113310. The cubic root of 648352896 is about 865.5068013633.

The spelling of 648352896 in words is "six hundred forty-eight million, three hundred fifty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 89 96 122 128 178 183 192 244 267 311 356 366 384 488 534 622 712 732 933 976 1068 1244 1424 1464 1866 1952 2136 2488 2848 2928 3732 3904 4272 4976 5429 5696 5856 7464 7808 8544 9952 10858 11392 11712 14928 16287 17088 18971 19904 21716 23424 27679 29856 32574 34176 37942 39808 43432 55358 56913 59712 65148 75884 83037 86864 110716 113826 119424 130296 151768 166074 173728 221432 227652 260592 303536 332148 347456 442864 455304 521184 607072 664296 694912 885728 910608 1042368 1214144 1328592 1688419 1771456 1821216 2084736 2428288 2657184 3376838 3542912 3642432 5065257 5314368 6753676 7284864 10130514 10628736 13507352 20261028 27014704 40522056 54029408 81044112 108058816 162088224 216117632 324176448 648352896