Search a number
-
+
650416640 = 295298761
BaseRepresentation
bin100110110001001…
…001001000000000
31200022212120220012
4212301021020000
52313001313030
6144312404052
722055310266
oct4661111000
91608776805
10650416640
11304163715
121619a6628
13a499b823
146254c436
153c17b095
hex26c49200

650416640 has 80 divisors (see below), whose sum is σ = 1613434680. Its totient is φ = 251166720.

The previous prime is 650416639. The next prime is 650416643. The reversal of 650416640 is 46614056.

It can be written as a sum of positive squares in 4 ways, for example, as 380406016 + 270010624 = 19504^2 + 16432^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 650416597 and 650416606.

It is not an unprimeable number, because it can be changed into a prime (650416643) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69860 + ... + 78620.

Almost surely, 2650416640 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 650416640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806717340).

650416640 is an abundant number, since it is smaller than the sum of its proper divisors (963018040).

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

650416640 is an equidigital number, since it uses as much as digits as its factorization.

650416640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8813 (or 8797 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 650416640 is about 25503.2672416693. The cubic root of 650416640 is about 866.4241477900.

The spelling of 650416640 in words is "six hundred fifty million, four hundred sixteen thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 464 512 580 640 928 1160 1280 1856 2320 2560 3712 4640 7424 8761 9280 14848 17522 18560 35044 37120 43805 70088 74240 87610 140176 175220 254069 280352 350440 508138 560704 700880 1016276 1121408 1270345 1401760 2032552 2242816 2540690 2803520 4065104 4485632 5081380 5607040 8130208 10162760 11214080 16260416 20325520 22428160 32520832 40651040 65041664 81302080 130083328 162604160 325208320 650416640