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5431932 = 22321122943
BaseRepresentation
bin10100101110001001111100
3101012222012200
4110232021330
52342310212
6312231500
764112352
oct24561174
911188180
105431932
113080100
12199b590
13118257c
14a157d2
157246dc
hex52e27c

5431932 has 108 divisors (see below), whose sum is σ = 15975960. Its totient is φ = 1552320.

The previous prime is 5431873. The next prime is 5431939. The reversal of 5431932 is 2391345.

5431932 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 5431896 and 5431905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5431939) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 126303 + ... + 126345.

Almost surely, 25431932 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 5431932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7987980).

5431932 is an abundant number, since it is smaller than the sum of its proper divisors (10544028).

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

5431932 is a wasteful number, since it uses less digits than its factorization.

5431932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 88 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 5431932 is about 2330.6505529573. The cubic root of 5431932 is about 175.7861987170.

It can be divided in two parts, 543 and 1932, that multiplied together give a triangular number (1049076 = T1448).

The spelling of 5431932 in words is "five million, four hundred thirty-one thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 29 33 36 43 44 58 66 86 87 99 116 121 129 132 172 174 198 242 258 261 319 348 363 387 396 473 484 516 522 638 726 774 946 957 1044 1089 1247 1276 1419 1452 1548 1892 1914 2178 2494 2838 2871 3509 3741 3828 4257 4356 4988 5203 5676 5742 7018 7482 8514 10406 10527 11223 11484 13717 14036 14964 15609 17028 20812 21054 22446 27434 31218 31581 41151 42108 44892 46827 54868 62436 63162 82302 93654 123453 126324 150887 164604 187308 246906 301774 452661 493812 603548 905322 1357983 1810644 2715966 5431932