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3828614104 = 237298926489
BaseRepresentation
bin1110010000110100…
…0000001111011000
3100212211012202012101
43210031000033120
530320111122404
61431524253144
7163606453150
oct34415001730
910784182171
103828614104
111695175497
128aa2411b4
13490275643
1428469d760
151761be2a4
hexe43403d8

3828614104 has 64 divisors (see below), whose sum is σ = 8582760000. Its totient is φ = 1566394368.

The previous prime is 3828614093. The next prime is 3828614107. The reversal of 3828614104 is 4014168283.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3828614107) 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 15 ways as a sum of consecutive naturals, for example, 131292 + ... + 157780.

It is an arithmetic number, because the mean of its divisors is an integer number (134105625).

Almost surely, 23828614104 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 3828614104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291380000).

3828614104 is an abundant number, since it is smaller than the sum of its proper divisors (4754145896).

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

3828614104 is a wasteful number, since it uses less digits than its factorization.

3828614104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26620 (or 26616 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 37.

The square root of 3828614104 is about 61875.7957847816. The cubic root of 3828614104 is about 1564.3978063315.

The spelling of 3828614104 in words is "three billion, eight hundred twenty-eight million, six hundred fourteen thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 29 56 58 89 116 178 203 232 356 406 623 712 812 1246 1624 2492 2581 4984 5162 10324 18067 20648 26489 36134 52978 72268 105956 144536 185423 211912 370846 741692 768181 1483384 1536362 2357521 3072724 4715042 5377267 6145448 9430084 10754534 16502647 18860168 21509068 33005294 43018136 66010588 68368109 132021176 136736218 273472436 478576763 546944872 957153526 1914307052 3828614104