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5107008 = 26367397
BaseRepresentation
bin10011011110110101000000
3100121110111110
4103132311000
52301411013
6301243320
761260144
oct23366500
910543443
105107008
112978a75
121863540
13109a6ca
1496d224
156ad2c3
hex4ded40

5107008 has 56 divisors (see below), whose sum is σ = 13748512. Its totient is φ = 1672704.

The previous prime is 5106979. The next prime is 5107009. The reversal of 5107008 is 8007015.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5107009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12666 + ... + 13062.

Almost surely, 25107008 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 5107008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6874256).

5107008 is an abundant number, since it is smaller than the sum of its proper divisors (8641504).

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

5107008 is a wasteful number, since it uses less digits than its factorization.

5107008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 280, while the sum is 21.

The square root of 5107008 is about 2259.8690227533. The cubic root of 5107008 is about 172.2088683059.

The spelling of 5107008 in words is "five million, one hundred seven thousand, eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 134 192 201 268 397 402 536 794 804 1072 1191 1588 1608 2144 2382 3176 3216 4288 4764 6352 6432 9528 12704 12864 19056 25408 26599 38112 53198 76224 79797 106396 159594 212792 319188 425584 638376 851168 1276752 1702336 2553504 5107008