Search a number
-
+
5852080 = 2451317331
BaseRepresentation
bin10110010100101110110000
3102000022112201
4112110232300
52444231310
6325232544
7100512313
oct26245660
912008481
105852080
113337833
121b62754
13129b890
14ac497a
157a8e3a
hex594bb0

5852080 has 80 divisors (see below), whose sum is σ = 15561504. Its totient is φ = 2027520.

The previous prime is 5852069. The next prime is 5852123. The reversal of 5852080 is 802585.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17515 + ... + 17845.

Almost surely, 25852080 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 5852080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7780752).

5852080 is an abundant number, since it is smaller than the sum of its proper divisors (9709424).

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

5852080 is a wasteful number, since it uses less digits than its factorization.

5852080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 28.

The square root of 5852080 is about 2419.1072733552. The cubic root of 5852080 is about 180.2063477196.

The spelling of 5852080 in words is "five million, eight hundred fifty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 331 340 442 520 662 680 884 1040 1105 1324 1360 1655 1768 2210 2648 3310 3536 4303 4420 5296 5627 6620 8606 8840 11254 13240 17212 17680 21515 22508 26480 28135 34424 43030 45016 56270 68848 73151 86060 90032 112540 146302 172120 225080 292604 344240 365755 450160 585208 731510 1170416 1463020 2926040 5852080