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10488608 = 2513191327
BaseRepresentation
bin101000000000…
…101100100000
3201201212122222
4220000230200
510141113413
61012450212
7155103014
oct50005440
921655588
1010488608
115a14279
123619968
1322330a0
141570544
15dc2b08
hexa00b20

10488608 has 48 divisors (see below), whose sum is σ = 23425920. Its totient is φ = 4582656.

The previous prime is 10488601. The next prime is 10488613. The reversal of 10488608 is 80688401.

It is a super-2 number, since 2×104886082 = 220021795555328, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10488601) 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, 7241 + ... + 8567.

It is an arithmetic number, because the mean of its divisors is an integer number (488040).

Almost surely, 210488608 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 10488608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11712960).

10488608 is an abundant number, since it is smaller than the sum of its proper divisors (12937312).

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

10488608 is a wasteful number, since it uses less digits than its factorization.

10488608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 10488608 is about 3238.6120483936. The cubic root of 10488608 is about 218.8967355083.

The spelling of 10488608 in words is "ten million, four hundred eighty-eight thousand, six hundred eight".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 494 608 988 1327 1976 2654 3952 5308 7904 10616 17251 21232 25213 34502 42464 50426 69004 100852 138008 201704 276016 327769 403408 552032 655538 806816 1311076 2622152 5244304 10488608