Search a number
-
+
5419752 = 2331329599
BaseRepresentation
bin10100101011001011101000
3101012100111120
4110223023220
52341413002
6312055240
764032012
oct24531350
911170446
105419752
113071a38
121994520
131179b70
14a111b2
15720cbc
hex52b2e8

5419752 has 64 divisors (see below), whose sum is σ = 15120000. Its totient is φ = 1607424.

The previous prime is 5419747. The next prime is 5419759. The reversal of 5419752 is 2579145.

5419752 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (5419759) 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 15 ways as a sum of consecutive naturals, for example, 8749 + ... + 9347.

It is an arithmetic number, because the mean of its divisors is an integer number (236250).

Almost surely, 25419752 is an apocalyptic number.

5419752 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5419752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7560000).

5419752 is an abundant number, since it is smaller than the sum of its proper divisors (9700248).

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

5419752 is a wasteful number, since it uses less digits than its factorization.

5419752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 646 counting only the distinct ones).

The product of its digits is 12600, while the sum is 33.

The square root of 5419752 is about 2328.0360821946. The cubic root of 5419752 is about 175.6547121541.

The spelling of 5419752 in words is "five million, four hundred nineteen thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 52 58 78 87 104 116 156 174 232 312 348 377 599 696 754 1131 1198 1508 1797 2262 2396 3016 3594 4524 4792 7188 7787 9048 14376 15574 17371 23361 31148 34742 46722 52113 62296 69484 93444 104226 138968 186888 208452 225823 416904 451646 677469 903292 1354938 1806584 2709876 5419752