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5188608 = 21032563
BaseRepresentation
bin10011110010110000000000
3100202121102200
4103302300000
52312013413
6303113200
762050065
oct23626000
910677380
105188608
112a24307
1218a2800
1310c88a9
14990c6c
156c7573
hex4f2c00

5188608 has 66 divisors (see below), whose sum is σ = 15008604. Its totient is φ = 1726464.

The previous prime is 5188571. The next prime is 5188619. The reversal of 5188608 is 8068815.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an Ulam number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8935 + ... + 9497.

Almost surely, 25188608 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 5188608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7504302).

5188608 is an abundant number, since it is smaller than the sum of its proper divisors (9819996).

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

5188608 is a wasteful number, since it uses less digits than its factorization.

5188608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 589 (or 568 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The square root of 5188608 is about 2277.8516193993. The cubic root of 5188608 is about 173.1212132350.

The spelling of 5188608 in words is "five million, one hundred eighty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 563 576 768 1024 1126 1152 1536 1689 2252 2304 3072 3378 4504 4608 5067 6756 9008 9216 10134 13512 18016 20268 27024 36032 40536 54048 72064 81072 108096 144128 162144 216192 288256 324288 432384 576512 648576 864768 1297152 1729536 2594304 5188608