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3893138912 = 2513194491097
BaseRepresentation
bin1110100000001100…
…1001010111100000
3101001022121221121002
43220003021113200
530433120421122
61442151251132
7165322064135
oct35003112740
911038557532
103893138912
111718636983
12907979aa8
134a0747cc0
1428d09858c
1517bbb7992
hexe80c95e0

3893138912 has 96 divisors (see below), whose sum is σ = 8715924000. Its totient is φ = 1696923648.

The previous prime is 3893138911. The next prime is 3893138929. The reversal of 3893138912 is 2198313983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3893138911) 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, 3548348 + ... + 3549444.

It is an arithmetic number, because the mean of its divisors is an integer number (90790875).

Almost surely, 23893138912 is an apocalyptic number.

3893138912 is a gapful number since it is divisible by the number (32) 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 3893138912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357962000).

3893138912 is an abundant number, since it is smaller than the sum of its proper divisors (4822785088).

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

3893138912 is a wasteful number, since it uses less digits than its factorization.

3893138912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1588 (or 1580 counting only the distinct ones).

The product of its digits is 279936, while the sum is 47.

The square root of 3893138912 is about 62395.0231348623. The cubic root of 3893138912 is about 1573.1373174997.

The spelling of 3893138912 in words is "three billion, eight hundred ninety-three million, one hundred thirty-eight thousand, nine hundred twelve".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 208 247 304 416 449 494 608 898 988 1097 1796 1976 2194 3592 3952 4388 5837 7184 7904 8531 8776 11674 14261 14368 17062 17552 20843 23348 28522 34124 35104 41686 46696 57044 68248 83372 93392 110903 114088 136496 166744 186784 221806 228176 270959 272992 333488 443612 456352 492553 541918 666976 887224 985106 1083836 1774448 1970212 2167672 3548896 3940424 4335344 6403189 7880848 8670688 9358507 12806378 15761696 18717014 25612756 37434028 51225512 74868056 102451024 121660591 149736112 204902048 243321182 299472224 486642364 973284728 1946569456 3893138912