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5431008 = 2531137139
BaseRepresentation
bin10100101101111011100000
3101012220221110
4110231323200
52342243013
6312223320
764106562
oct24557340
911186843
105431008
11307a440
12199ab40
13118201b
14a15332
157242c3
hex52dee0

5431008 has 96 divisors (see below), whose sum is σ = 16087680. Its totient is φ = 1589760.

The previous prime is 5430961. The next prime is 5431021. The reversal of 5431008 is 8001345.

5431008 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39003 + ... + 39141.

It is an arithmetic number, because the mean of its divisors is an integer number (167580).

Almost surely, 25431008 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 5431008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8043840).

5431008 is an abundant number, since it is smaller than the sum of its proper divisors (10656672).

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

5431008 is a wasteful number, since it uses less digits than its factorization.

5431008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 5431008 is about 2330.4523166115. The cubic root of 5431008 is about 175.7762307683.

It can be divided in two parts, 543 and 1008, that added together give a palindrome (1551).

The spelling of 5431008 in words is "five million, four hundred thirty-one thousand, eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 37 44 48 66 74 88 96 111 132 139 148 176 222 264 278 296 352 407 417 444 528 556 592 814 834 888 1056 1112 1184 1221 1529 1628 1668 1776 2224 2442 3058 3256 3336 3552 4448 4587 4884 5143 6116 6512 6672 9174 9768 10286 12232 13024 13344 15429 18348 19536 20572 24464 30858 36696 39072 41144 48928 56573 61716 73392 82288 113146 123432 146784 164576 169719 226292 246864 339438 452584 493728 678876 905168 1357752 1810336 2715504 5431008