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3129462028 = 227311316689
BaseRepresentation
bin1011101010000111…
…1100110100001100
322002002122010212001
42322201330310030
522402120241103
61234311122044
7140356663000
oct27241746414
98062563761
103129462028
111366555160
12734073324
133ab4721a4
142198a6700
15134b1801d
hexba87cd0c

3129462028 has 96 divisors (see below), whose sum is σ = 7193088000. Its totient is φ = 1179763200.

The previous prime is 3129462019. The next prime is 3129462029. The reversal of 3129462028 is 8202649213.

It is a happy number.

3129462028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (3129462029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 464508 + ... + 471196.

It is an arithmetic number, because the mean of its divisors is an integer number (74928000).

Almost surely, 23129462028 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 3129462028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3596544000).

3129462028 is an abundant number, since it is smaller than the sum of its proper divisors (4063625972).

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

3129462028 is a wasteful number, since it uses less digits than its factorization.

3129462028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6756 (or 6740 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 3129462028 is about 55941.5947931412. The cubic root of 3129462028 is about 1462.7043807973.

The spelling of 3129462028 in words is "three billion, one hundred twenty-nine million, four hundred sixty-two thousand, twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 31 44 49 62 77 98 124 154 196 217 308 341 343 434 539 682 686 868 1078 1364 1372 1519 2156 2387 3038 3773 4774 6076 6689 7546 9548 10633 13378 15092 16709 21266 26756 33418 42532 46823 66836 73579 93646 116963 147158 187292 207359 233926 294316 327761 414718 467852 515053 655522 829436 1030106 1311044 1451513 2060212 2280949 2294327 2903026 3605371 4561898 4588654 5806052 7210742 9123796 9177308 10160591 14421484 15966643 20321182 25237597 31933286 40642364 50475194 63866572 71124137 100950388 111766501 142248274 223533002 284496548 447066004 782365507 1564731014 3129462028