Search a number
-
+
5439672 = 2332743251
BaseRepresentation
bin10100110000000010111000
3101020100211100
4110300002320
52343032142
6312331400
764144050
oct24600270
911210740
105439672
1130859a7
1219a3b60
131185c54
14a18560
15726b4c
hex5300b8

5439672 has 96 divisors (see below), whose sum is σ = 17297280. Its totient is φ = 1512000.

The previous prime is 5439667. The next prime is 5439689. The reversal of 5439672 is 2769345.

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

It is a d-powerful number, because it can be written as 57 + 45 + 314 + 94 + 66 + 72 + 219 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21547 + ... + 21797.

It is an arithmetic number, because the mean of its divisors is an integer number (180180).

Almost surely, 25439672 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 5439672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8648640).

5439672 is an abundant number, since it is smaller than the sum of its proper divisors (11857608).

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

5439672 is a wasteful number, since it uses less digits than its factorization.

5439672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313 (or 306 counting only the distinct ones).

The product of its digits is 45360, while the sum is 36.

The square root of 5439672 is about 2332.3104424583. The cubic root of 5439672 is about 175.8696521091.

The spelling of 5439672 in words is "five million, four hundred thirty-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 43 56 63 72 84 86 126 129 168 172 251 252 258 301 344 387 502 504 516 602 753 774 903 1004 1032 1204 1506 1548 1757 1806 2008 2259 2408 2709 3012 3096 3514 3612 4518 5271 5418 6024 7028 7224 9036 10542 10793 10836 14056 15813 18072 21084 21586 21672 31626 32379 42168 43172 63252 64758 75551 86344 97137 126504 129516 151102 194274 226653 259032 302204 388548 453306 604408 679959 777096 906612 1359918 1813224 2719836 5439672