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4115226288 = 243791935623
BaseRepresentation
bin1111010101001001…
…0101111010110000
3101121210112011012110
43311102111322300
531411444220123
61520203325320
7203656563165
oct36522257260
911553464173
104115226288
111821a35468
1296a220840
13507766854
142b078a06c
15191436493
hexf5495eb0

4115226288 has 80 divisors (see below), whose sum is σ = 10823275520. Its totient is φ = 1347121152.

The previous prime is 4115226277. The next prime is 4115226301. The reversal of 4115226288 is 8826225114.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 729045 + ... + 734667.

It is an arithmetic number, because the mean of its divisors is an integer number (135290944).

Almost surely, 24115226288 is an apocalyptic number.

4115226288 is a gapful number since it is divisible by the number (48) 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 4115226288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5411637760).

4115226288 is an abundant number, since it is smaller than the sum of its proper divisors (6708049232).

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

4115226288 is a wasteful number, since it uses less digits than its factorization.

4115226288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5906 (or 5900 counting only the distinct ones).

The product of its digits is 61440, while the sum is 39.

The square root of 4115226288 is about 64150.0295245450. The cubic root of 4115226288 is about 1602.4995161452.

The spelling of 4115226288 in words is "four billion, one hundred fifteen million, two hundred twenty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 193 237 316 386 474 579 632 772 948 1158 1264 1544 1896 2316 3088 3792 4632 5623 9264 11246 15247 16869 22492 30494 33738 44984 45741 60988 67476 89968 91482 121976 134952 182964 243952 269904 365928 444217 731856 888434 1085239 1332651 1776868 2170478 2665302 3255717 3553736 4340956 5330604 6511434 7107472 8681912 10661208 13022868 17363824 21322416 26045736 52091472 85733881 171467762 257201643 342935524 514403286 685871048 1028806572 1371742096 2057613144 4115226288