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5429424 = 24371113113
BaseRepresentation
bin10100101101100010110000
3101012211202210
4110231202300
52342220144
6312212120
764102140
oct24554260
911184683
105429424
113079230
12199a040
1311813a0
14a14920
15723ab9
hex52d8b0

5429424 has 160 divisors (see below), whose sum is σ = 18998784. Its totient is φ = 1290240.

The previous prime is 5429423. The next prime is 5429453. The reversal of 5429424 is 4249245.

It is a junction number, because it is equal to n+sod(n) for n = 5429391 and 5429400.

It is not an unprimeable number, because it can be changed into a prime (5429423) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47992 + ... + 48104.

Almost surely, 25429424 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 5429424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9499392).

5429424 is an abundant number, since it is smaller than the sum of its proper divisors (13569360).

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

5429424 is a wasteful number, since it uses less digits than its factorization.

5429424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 149 counting only the distinct ones).

The product of its digits is 11520, while the sum is 30.

The square root of 5429424 is about 2330.1124436387. The cubic root of 5429424 is about 175.7591402256.

The spelling of 5429424 in words is "five million, four hundred twenty-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 113 132 143 154 156 168 176 182 208 226 231 264 273 286 308 312 336 339 364 429 452 462 528 546 572 616 624 678 728 791 858 904 924 1001 1092 1144 1232 1243 1356 1456 1469 1582 1716 1808 1848 2002 2184 2288 2373 2486 2712 2938 3003 3164 3432 3696 3729 4004 4368 4407 4746 4972 5424 5876 6006 6328 6864 7458 8008 8701 8814 9492 9944 10283 11752 12012 12656 14916 16016 16159 17402 17628 18984 19888 20566 23504 24024 26103 29832 30849 32318 34804 35256 37968 41132 48048 48477 52206 59664 61698 64636 69608 70512 82264 96954 104412 113113 123396 129272 139216 164528 193908 208824 226226 246792 258544 339339 387816 417648 452452 493584 678678 775632 904904 1357356 1809808 2714712 5429424