Search a number
-
+
5261957976 = 2331122517219
BaseRepresentation
bin1001110011010001…
…10001101101011000
3111120201022011100110
410321220301231120
541234030123401
62230050004320
7244252622232
oct47150615530
914521264313
105261957976
112260268a00
12102a2766a0
1365b1ca102
1437cbb1252
1520be4d9d6
hex139a31b58

5261957976 has 96 divisors (see below), whose sum is σ = 14519131200. Its totient is φ = 1587960000.

The previous prime is 5261957959. The next prime is 5261957989. The reversal of 5261957976 is 6797591625.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 725295 + ... + 732513.

It is an arithmetic number, because the mean of its divisors is an integer number (151240950).

Almost surely, 25261957976 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 5261957976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7259565600).

5261957976 is an abundant number, since it is smaller than the sum of its proper divisors (9257173224).

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

5261957976 is a wasteful number, since it uses less digits than its factorization.

5261957976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7501 (or 7486 counting only the distinct ones).

The product of its digits is 7144200, while the sum is 57.

The square root of 5261957976 is about 72539.3546704132. The cubic root of 5261957976 is about 1739.3318851244.

The spelling of 5261957976 in words is "five billion, two hundred sixty-one million, nine hundred fifty-seven thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 251 264 363 484 502 726 753 968 1004 1452 1506 2008 2761 2904 3012 5522 6024 7219 8283 11044 14438 16566 21657 22088 28876 30371 33132 43314 57752 60742 66264 79409 86628 91113 121484 158818 173256 182226 238227 242968 317636 364452 476454 635272 728904 873499 952908 1746998 1811969 1905816 2620497 3493996 3623938 5240994 5435907 6987992 7247876 10481988 10871814 14495752 19931659 20963976 21743628 39863318 43487256 59794977 79726636 119589954 159453272 219248249 239179908 438496498 478359816 657744747 876992996 1315489494 1753985992 2630978988 5261957976