Search a number
-
+
5374871424 = 273313119633
BaseRepresentation
bin1010000000101111…
…00000011110000000
3111212120202202111000
411000113200132000
542001431341144
62245202052000
7250123440036
oct50027403600
914776682430
105374871424
112308a7a4aa
12106004a000
136787125c0
1438dba4556
15216d04769
hex1405e0780

5374871424 has 128 divisors (see below), whose sum is σ = 17083735200. Its totient is φ = 1653792768.

The previous prime is 5374871399. The next prime is 5374871429. The reversal of 5374871424 is 4241784735.

5374871424 is a `hidden beast` number, since 537 + 4 + 8 + 71 + 42 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 5374871424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5374871429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14889 + ... + 104744.

Almost surely, 25374871424 is an apocalyptic number.

5374871424 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5374871424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8541867600).

5374871424 is an abundant number, since it is smaller than the sum of its proper divisors (11708863776).

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

5374871424 is a wasteful number, since it uses less digits than its factorization.

5374871424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119669 (or 119651 counting only the distinct ones).

The product of its digits is 752640, while the sum is 45.

The square root of 5374871424 is about 73313.5146067899. The cubic root of 5374871424 is about 1751.6850625499.

The spelling of 5374871424 in words is "five billion, three hundred seventy-four million, eight hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 22464 44928 119633 239266 358899 478532 717798 957064 1076697 1435596 1555229 1914128 2153394 2871192 3110458 3230091 3828256 4306788 4665687 5742384 6220916 6460182 7656512 8613576 9331374 11484768 12441832 12920364 13997061 15313024 17227152 18662748 22969536 24883664 25840728 27994122 34454304 37325496 41991183 45939072 49767328 51681456 55988244 68908608 74650992 83982366 99534656 103362912 111976488 137817216 149301984 167964732 199069312 206725824 223952976 298603968 335929464 413451648 447905952 597207936 671858928 895811904 1343717856 1791623808 2687435712 5374871424