Search a number
-
+
649920040 = 235711219183
BaseRepresentation
bin100110101111001…
…111111000101000
31200021221100200121
4212233033320220
52312334420130
6144254013024
722051141420
oct4657177050
91607840617
10649920040
11303954600
121617a7174
13a4856793
146245d480
153c0cdd7a
hex26bcfe28

649920040 has 96 divisors (see below), whose sum is σ = 1837059840. Its totient is φ = 202561920.

The previous prime is 649920031. The next prime is 649920041. The reversal of 649920040 is 40029946.

It is a junction number, because it is equal to n+sod(n) for n = 649919978 and 649920005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (649920041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24289 + ... + 43471.

It is an arithmetic number, because the mean of its divisors is an integer number (19136040).

Almost surely, 2649920040 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 649920040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918529920).

649920040 is an abundant number, since it is smaller than the sum of its proper divisors (1187139800).

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

649920040 is a wasteful number, since it uses less digits than its factorization.

649920040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19223 (or 19208 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 649920040 is about 25493.5293751179. The cubic root of 649920040 is about 866.2035836387.

Adding to 649920040 its reverse (40029946), we get a palindrome (689949986).

The spelling of 649920040 in words is "six hundred forty-nine million, nine hundred twenty thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 121 140 154 220 242 280 308 385 440 484 605 616 770 847 968 1210 1540 1694 2420 3080 3388 4235 4840 6776 8470 16940 19183 33880 38366 76732 95915 134281 153464 191830 211013 268562 383660 422026 537124 671405 767320 844052 1055065 1074248 1342810 1477091 1688104 2110130 2321143 2685620 2954182 4220260 4642286 5371240 5908364 7385455 8440520 9284572 11605715 11816728 14770910 16248001 18569144 23211430 29541820 32496002 46422860 59083640 64992004 81240005 92845720 129984008 162480010 324960020 649920040