Search a number
-
+
5717608950 = 2352432393709
BaseRepresentation
bin1010101001100101…
…11100100111110110
3112202110200121222110
411110302330213312
543202201441300
62343204111450
7261454605564
oct52462744766
915673617873
105717608950
112474494259
121136995586
13701724c81
143c3500a34
15236e56550
hex154cbc9f6

5717608950 has 96 divisors (see below), whose sum is σ = 14574067200. Its totient is φ = 1482606720.

The previous prime is 5717608931. The next prime is 5717608951. The reversal of 5717608950 is 598067175.

It is a self number, because there is not a number n which added to its sum of digits gives 5717608950.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5717608951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1539696 + ... + 1543404.

It is an arithmetic number, because the mean of its divisors is an integer number (151813200).

Almost surely, 25717608950 is an apocalyptic number.

5717608950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5717608950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7287033600).

5717608950 is an abundant number, since it is smaller than the sum of its proper divisors (8856458250).

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

5717608950 is a wasteful number, since it uses less digits than its factorization.

5717608950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4006 (or 4001 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 48.

The square root of 5717608950 is about 75614.8725450225. The cubic root of 5717608950 is about 1788.1535791137.

The spelling of 5717608950 in words is "five billion, seven hundred seventeen million, six hundred eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 43 50 75 86 129 150 215 239 258 430 478 645 717 1075 1195 1290 1434 2150 2390 3225 3585 3709 5975 6450 7170 7418 10277 11127 11950 17925 18545 20554 22254 30831 35850 37090 51385 55635 61662 92725 102770 111270 154155 159487 185450 256925 278175 308310 318974 478461 513850 556350 770775 797435 886451 956922 1541550 1594870 1772902 2392305 2659353 3987175 4432255 4784610 5318706 7974350 8864510 11961525 13296765 22161275 23923050 26593530 38117393 44322550 66483825 76234786 114352179 132967650 190586965 228704358 381173930 571760895 952934825 1143521790 1905869650 2858804475 5717608950