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5519424 = 263171989
BaseRepresentation
bin10101000011100001000000
3101101102020010
4111003201000
52403110144
6314144520
764625421
oct25034100
911342203
105519424
11312a909
121a22140
1311b3341
14a39648
157405b9
hex543840

5519424 has 112 divisors (see below), whose sum is σ = 16459200. Its totient is φ = 1622016.

The previous prime is 5519389. The next prime is 5519429. The reversal of 5519424 is 4249155.

It is a junction number, because it is equal to n+sod(n) for n = 5519391 and 5519400.

It is not an unprimeable number, because it can be changed into a prime (5519429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61972 + ... + 62060.

Almost surely, 25519424 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 5519424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8229600).

5519424 is an abundant number, since it is smaller than the sum of its proper divisors (10939776).

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

5519424 is a wasteful number, since it uses less digits than its factorization.

5519424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 130 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 5519424 is about 2349.3454407558. The cubic root of 5519424 is about 176.7249710649.

The spelling of 5519424 in words is "five million, five hundred nineteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 89 96 102 114 136 152 178 192 204 228 267 272 304 323 356 408 456 534 544 608 646 712 816 912 969 1068 1088 1216 1292 1424 1513 1632 1691 1824 1938 2136 2584 2848 3026 3264 3382 3648 3876 4272 4539 5073 5168 5696 6052 6764 7752 8544 9078 10146 10336 12104 13528 15504 17088 18156 20292 20672 24208 27056 28747 31008 36312 40584 48416 54112 57494 62016 72624 81168 86241 96832 108224 114988 145248 162336 172482 229976 290496 324672 344964 459952 689928 919904 1379856 1839808 2759712 5519424