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5138976 = 253199269
BaseRepresentation
bin10011100110101000100000
3100200002100110
4103212220200
52303421401
6302051320
761452303
oct23465040
910602313
105138976
11299aa97
121879b40
1310ac11b
1497ab3a
156b79d6
hex4e6a20

5138976 has 48 divisors (see below), whose sum is σ = 13608000. Its totient is φ = 1698048.

The previous prime is 5138957. The next prime is 5138977. The reversal of 5138976 is 6798315.

5138976 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

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

It is not an unprimeable number, because it can be changed into a prime (5138977) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18970 + ... + 19238.

It is an arithmetic number, because the mean of its divisors is an integer number (283500).

Almost surely, 25138976 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 5138976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6804000).

5138976 is an abundant number, since it is smaller than the sum of its proper divisors (8469024).

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

5138976 is a wasteful number, since it uses less digits than its factorization.

5138976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 481 (or 473 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 5138976 is about 2266.9309649833. The cubic root of 5138976 is about 172.5674426475.

The spelling of 5138976 in words is "five million, one hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 199 269 398 538 597 796 807 1076 1194 1592 1614 2152 2388 3184 3228 4304 4776 6368 6456 8608 9552 12912 19104 25824 53531 107062 160593 214124 321186 428248 642372 856496 1284744 1712992 2569488 5138976