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648929880 = 23345533779
BaseRepresentation
bin100110101011011…
…110001001011000
31200020002001110000
4212223132021120
52312111224010
6144220453000
722036545564
oct4653361130
91606061400
10648929880
11303338695
121613aa160
13a459aba1
14622826a4
153be857c0
hex26ade258

648929880 has 160 divisors (see below), whose sum is σ = 2222866800. Its totient is φ = 169737984.

The previous prime is 648929863. The next prime is 648929887. The reversal of 648929880 is 88929846.

648929880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×6489298802 = 842219978313628800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648929887) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 169831 + ... + 173609.

Almost surely, 2648929880 is an apocalyptic number.

648929880 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 648929880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111433400).

648929880 is an abundant number, since it is smaller than the sum of its proper divisors (1573936920).

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

648929880 is a wasteful number, since it uses less digits than its factorization.

648929880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3855 (or 3842 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 648929880 is about 25474.1021431571. The cubic root of 648929880 is about 865.7634699744.

The spelling of 648929880 in words is "six hundred forty-eight million, nine hundred twenty-nine thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 53 54 60 72 81 90 106 108 120 135 159 162 180 212 216 265 270 318 324 360 405 424 477 530 540 636 648 795 810 954 1060 1080 1272 1431 1590 1620 1908 2120 2385 2862 3180 3240 3779 3816 4293 4770 5724 6360 7155 7558 8586 9540 11337 11448 14310 15116 17172 18895 19080 21465 22674 28620 30232 34011 34344 37790 42930 45348 56685 57240 68022 75580 85860 90696 102033 113370 136044 151160 170055 171720 200287 204066 226740 272088 306099 340110 400574 408132 453480 510165 600861 612198 680220 801148 816264 1001435 1020330 1201722 1224396 1360440 1530495 1602296 1802583 2002870 2040660 2403444 2448792 3004305 3060990 3605166 4005740 4081320 4806888 5407749 6008610 6121980 7210332 8011480 9012915 10815498 12017220 12243960 14420664 16223247 18025830 21630996 24034440 27038745 32446494 36051660 43261992 54077490 64892988 72103320 81116235 108154980 129785976 162232470 216309960 324464940 648929880