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5158728 = 233419419
BaseRepresentation
bin10011101011011101001000
3100201002110000
4103223131020
52310034403
6302323000
761564011
oct23533510
910632400
105158728
112a03913
121889460
1310b8103
14984008
156bd7a3
hex4eb748

5158728 has 80 divisors (see below), whose sum is σ = 15246000. Its totient is φ = 1625184.

The previous prime is 5158721. The next prime is 5158733. The reversal of 5158728 is 8278515.

5158728 is a `hidden beast` number, since 51 + 587 + 28 = 666.

5158728 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51587282 = 53224949155968, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5158692 and 5158701.

It is not an unprimeable number, because it can be changed into a prime (5158721) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12103 + ... + 12521.

It is an arithmetic number, because the mean of its divisors is an integer number (190575).

Almost surely, 25158728 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 5158728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7623000).

5158728 is an abundant number, since it is smaller than the sum of its proper divisors (10087272).

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

5158728 is a wasteful number, since it uses less digits than its factorization.

5158728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 443 counting only the distinct ones).

The product of its digits is 22400, while the sum is 36.

The square root of 5158728 is about 2271.2833376750. The cubic root of 5158728 is about 172.7882515161.

It can be divided in two parts, 51587 and 28, that added together give a palindrome (51615).

The spelling of 5158728 in words is "five million, one hundred fifty-eight thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 324 342 419 456 513 648 684 838 1026 1257 1368 1539 1676 2052 2514 3078 3352 3771 4104 5028 6156 7542 7961 10056 11313 12312 15084 15922 22626 23883 30168 31844 33939 45252 47766 63688 67878 71649 90504 95532 135756 143298 191064 214947 271512 286596 429894 573192 644841 859788 1289682 1719576 2579364 5158728