Search a number
-
+
5762976 = 253173347
BaseRepresentation
bin10101111110111110100000
3101211210022120
4111332332200
52433403401
6323304240
766661452
oct25767640
911753276
105762976
11328689a
121b1b080
13126a15b
14aa02d2
1578c836
hex57efa0

5762976 has 48 divisors (see below), whose sum is σ = 15259104. Its totient is φ = 1904384.

The previous prime is 5762969. The next prime is 5763011. The reversal of 5762976 is 6792675.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16435 + ... + 16781.

It is an arithmetic number, because the mean of its divisors is an integer number (317898).

Almost surely, 25762976 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 5762976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7629552).

5762976 is an abundant number, since it is smaller than the sum of its proper divisors (9496128).

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

5762976 is a wasteful number, since it uses less digits than its factorization.

5762976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 525 counting only the distinct ones).

The product of its digits is 158760, while the sum is 42.

The square root of 5762976 is about 2400.6199199373. The cubic root of 5762976 is about 179.2870564464.

The spelling of 5762976 in words is "five million, seven hundred sixty-two thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 173 346 347 519 692 694 1038 1041 1384 1388 2076 2082 2768 2776 4152 4164 5536 5552 8304 8328 11104 16608 16656 33312 60031 120062 180093 240124 360186 480248 720372 960496 1440744 1920992 2881488 5762976