Search a number
-
+
5381756328 = 2331329713679
BaseRepresentation
bin1010000001100011…
…10001010110101000
3111220001201112210110
411000301301112220
542010212200303
62250005414320
7250236113454
oct50061612650
914801645713
105381756328
112311952203
12106240a3a0
13679c83300
14390a77664
15217714703
hex140c715a8

5381756328 has 96 divisors (see below), whose sum is σ = 14720227200. Its totient is φ = 1638733824.

The previous prime is 5381756267. The next prime is 5381756329. The reversal of 5381756328 is 8236571835.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5381756329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 386593 + ... + 400271.

It is an arithmetic number, because the mean of its divisors is an integer number (153335700).

Almost surely, 25381756328 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 5381756328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7360113600).

5381756328 is an abundant number, since it is smaller than the sum of its proper divisors (9338470872).

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

5381756328 is a wasteful number, since it uses less digits than its factorization.

5381756328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13811 (or 13794 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 48.

The square root of 5381756328 is about 73360.4547968454. The cubic root of 5381756328 is about 1752.4326796701.

The spelling of 5381756328 in words is "five billion, three hundred eighty-one million, seven hundred fifty-six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 97 104 156 169 194 291 312 338 388 507 582 676 776 1014 1164 1261 1352 2028 2328 2522 3783 4056 5044 7566 10088 13679 15132 16393 27358 30264 32786 41037 49179 54716 65572 82074 98358 109432 131144 164148 177827 196716 328296 355654 393432 533481 711308 1066962 1326863 1422616 2133924 2311751 2653726 3980589 4267848 4623502 5307452 6935253 7961178 9247004 10614904 13870506 15922356 17249219 18494008 27741012 31844712 34498438 51747657 55482024 68996876 103495314 137993752 206990628 224239847 413981256 448479694 672719541 896959388 1345439082 1793918776 2690878164 5381756328