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5115948 = 2232961241
BaseRepresentation
bin10011100001000000101100
3100121220202120
4103201000230
52302202243
6301352540
761325205
oct23410054
910556676
105115948
112984762
121868750
1310a17b6
149725ac
156b0c83
hex4e102c

5115948 has 48 divisors (see below), whose sum is σ = 12603360. Its totient is φ = 1612800.

The previous prime is 5115947. The next prime is 5116039. The reversal of 5115948 is 8495115.

It is not an unprimeable number, because it can be changed into a prime (5115947) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21108 + ... + 21348.

It is an arithmetic number, because the mean of its divisors is an integer number (262570).

Almost surely, 25115948 is an apocalyptic number.

5115948 is a gapful number since it is divisible by the number (58) 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 5115948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6301680).

5115948 is an abundant number, since it is smaller than the sum of its proper divisors (7487412).

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

5115948 is a wasteful number, since it uses less digits than its factorization.

5115948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 336 counting only the distinct ones).

The product of its digits is 7200, while the sum is 33.

The square root of 5115948 is about 2261.8461486140. The cubic root of 5115948 is about 172.3092956541.

The spelling of 5115948 in words is "five million, one hundred fifteen thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 12 29 58 61 87 116 122 174 183 241 244 348 366 482 723 732 964 1446 1769 2892 3538 5307 6989 7076 10614 13978 14701 20967 21228 27956 29402 41934 44103 58804 83868 88206 176412 426329 852658 1278987 1705316 2557974 5115948