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5007728 = 241137769
BaseRepresentation
bin10011000110100101110000
3100102102022102
4103012211300
52240221403
6255155532
760364535
oct23064560
910372272
105007728
112910420
121815ba8
13106446b
14944d8c
1568db88
hex4c6970

5007728 has 40 divisors (see below), whose sum is σ = 10884720. Its totient is φ = 2211840.

The previous prime is 5007719. The next prime is 5007733. The reversal of 5007728 is 8277005.

It is a self number, because there is not a number n which added to its sum of digits gives 5007728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6128 + ... + 6896.

It is an arithmetic number, because the mean of its divisors is an integer number (272118).

Almost surely, 25007728 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 5007728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5442360).

5007728 is an abundant number, since it is smaller than the sum of its proper divisors (5876992).

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

5007728 is a wasteful number, since it uses less digits than its factorization.

5007728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 825 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 29.

The square root of 5007728 is about 2237.7953436362. The cubic root of 5007728 is about 171.0856472793.

It can be divided in two parts, 50077 and 28, that added together give a palindrome (50105).

The spelling of 5007728 in words is "five million, seven thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 148 176 296 407 592 769 814 1538 1628 3076 3256 6152 6512 8459 12304 16918 28453 33836 56906 67672 113812 135344 227624 312983 455248 625966 1251932 2503864 5007728