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3890494112 = 25192615521
BaseRepresentation
bin1110011111100100…
…0011101010100000
3101001010122120121112
43213321003222200
530431431302422
61442014442452
7165260440301
oct34771035240
911033576545
103890494112
11171709a89a
12906b03428
134a003022b
1428c9aa7a8
1517b843ee2
hexe7e43aa0

3890494112 has 72 divisors (see below), whose sum is σ = 8217763092. Its totient is φ = 1812326400.

The previous prime is 3890494103. The next prime is 3890494121. The reversal of 3890494112 is 2114940983.

3890494112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3890494103) and next prime (3890494121).

It can be written as a sum of positive squares in 2 ways, for example, as 3257669776 + 632824336 = 57076^2 + 25156^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3890494112.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 701912 + ... + 707432.

Almost surely, 23890494112 is an apocalyptic number.

3890494112 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 3890494112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108881546).

3890494112 is an abundant number, since it is smaller than the sum of its proper divisors (4327268980).

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

3890494112 is a wasteful number, since it uses less digits than its factorization.

3890494112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5630 (or 5603 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 41.

The square root of 3890494112 is about 62373.8255360371. The cubic root of 3890494112 is about 1572.7810003821.

The spelling of 3890494112 in words is "three billion, eight hundred ninety million, four hundred ninety-four thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 61 76 122 152 244 304 361 488 608 722 976 1159 1444 1952 2318 2888 4636 5521 5776 9272 11042 11552 18544 22021 22084 37088 44042 44168 88084 88336 104899 176168 176672 209798 336781 352336 419596 673562 704672 839192 1347124 1678384 1993081 2694248 3356768 3986162 5388496 6398839 7972324 10776992 12797678 15944648 25595356 31889296 51190712 63778592 102381424 121577941 204762848 243155882 486311764 972623528 1945247056 3890494112