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3928112244 = 2232722638467
BaseRepresentation
bin1110101000100010…
…0011110001110100
3101010202102202222200
43222020203301310
531021044042434
61445441024500
7166225255200
oct35210436164
911122382880
103928112244
111736353961
12917625130
134a7a71894
1429399db00
1517ecc5199
hexea223c74

3928112244 has 108 divisors (see below), whose sum is σ = 11595808224. Its totient is φ = 1117918368.

The previous prime is 3928112239. The next prime is 3928112249. The reversal of 3928112244 is 4422118293.

It is an interprime number because it is at equal distance from previous prime (3928112239) and next prime (3928112249).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3928112199 and 3928112208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3928112249) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 459699 + ... + 468165.

Almost surely, 23928112244 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 3928112244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5797904112).

3928112244 is an abundant number, since it is smaller than the sum of its proper divisors (7667695980).

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

3928112244 is a wasteful number, since it uses less digits than its factorization.

3928112244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8754 (or 8742 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 3928112244 is about 62674.6539200656. The cubic root of 3928112244 is about 1577.8339495743.

The spelling of 3928112244 in words is "three billion, nine hundred twenty-eight million, one hundred twelve thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 263 294 441 526 588 789 882 1052 1578 1764 1841 2367 3156 3682 4734 5523 7364 8467 9468 11046 12887 16569 16934 22092 25401 25774 33138 33868 38661 50802 51548 59269 66276 76203 77322 101604 115983 118538 152406 154644 177807 231966 237076 304812 355614 414883 463932 533421 711228 829766 1066842 1244649 1659532 2133684 2226821 2489298 3733947 4453642 4978596 6680463 7467894 8907284 13360926 14935788 15587747 20041389 26721852 31175494 40082778 46763241 62350988 80165556 93526482 109114229 140289723 187052964 218228458 280579446 327342687 436456916 561158892 654685374 982028061 1309370748 1964056122 3928112244