Search a number
-
+
5857376 = 25779331
BaseRepresentation
bin10110010110000001100000
3102000120210212
4112112001200
52444414001
6325313252
7100533620
oct26260140
912016725
105857376
113340808
121b65828
1312a1105
14ac6880
157aa7bb
hex596060

5857376 has 48 divisors (see below), whose sum is σ = 13386240. Its totient is φ = 2471040.

The previous prime is 5857361. The next prime is 5857381. The reversal of 5857376 is 6737585.

It is an Ulam number.

It is a congruent number.

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, 17531 + ... + 17861.

It is an arithmetic number, because the mean of its divisors is an integer number (278880).

Almost surely, 25857376 is an apocalyptic number.

5857376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5857376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6693120).

5857376 is an abundant number, since it is smaller than the sum of its proper divisors (7528864).

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

5857376 is a wasteful number, since it uses less digits than its factorization.

5857376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 419 counting only the distinct ones).

The product of its digits is 176400, while the sum is 41.

The square root of 5857376 is about 2420.2016444916. The cubic root of 5857376 is about 180.2606922186.

The spelling of 5857376 in words is "five million, eight hundred fifty-seven thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 79 112 158 224 316 331 553 632 662 1106 1264 1324 2212 2317 2528 2648 4424 4634 5296 8848 9268 10592 17696 18536 26149 37072 52298 74144 104596 183043 209192 366086 418384 732172 836768 1464344 2928688 5857376