Search a number
-
+
5419728 = 243261617
BaseRepresentation
bin10100101011001011010000
3101012100110200
4110223023100
52341412403
6312055200
764031646
oct24531320
911170420
105419728
113071a16
121994500
131179b52
14a11196
15720ca3
hex52b2d0

5419728 has 60 divisors (see below), whose sum is σ = 15441348. Its totient is φ = 1774080.

The previous prime is 5419721. The next prime is 5419741. The reversal of 5419728 is 8279145.

5419728 is a `hidden beast` number, since 541 + 97 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 166464 + 5253264 = 408^2 + 2292^2 .

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 = 5419692 and 5419701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5419721) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8476 + ... + 9092.

Almost surely, 25419728 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 5419728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7720674).

5419728 is an abundant number, since it is smaller than the sum of its proper divisors (10021620).

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

5419728 is a wasteful number, since it uses less digits than its factorization.

5419728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692 (or 683 counting only the distinct ones).

The product of its digits is 20160, while the sum is 36.

The square root of 5419728 is about 2328.0309276296. The cubic root of 5419728 is about 175.6544528729.

The spelling of 5419728 in words is "five million, four hundred nineteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 61 72 122 144 183 244 366 488 549 617 732 976 1098 1234 1464 1851 2196 2468 2928 3702 4392 4936 5553 7404 8784 9872 11106 14808 22212 29616 37637 44424 75274 88848 112911 150548 225822 301096 338733 451644 602192 677466 903288 1354932 1806576 2709864 5419728