Search a number
-
+
3846000040 = 2352292931433
BaseRepresentation
bin1110010100111101…
…0100110110101000
3100221000221001012221
43211033110312220
530334034000130
61433345043424
7164210314051
oct34517246650
910830831187
103846000040
1116a3a6a833
128b4026574
13493a51c8c
14286b07728
151779a587a
hexe53d4da8

3846000040 has 64 divisors (see below), whose sum is σ = 8727037200. Its totient is φ = 1525389312.

The previous prime is 3846000017. The next prime is 3846000043. The reversal of 3846000040 is 400006483.

It can be written as a sum of positive squares in 8 ways, for example, as 3770205604 + 75794436 = 61402^2 + 8706^2 .

It is a junction number, because it is equal to n+sod(n) for n = 3845999969 and 3846000014.

It is not an unprimeable number, because it can be changed into a prime (3846000043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2683164 + ... + 2684596.

Almost surely, 23846000040 is an apocalyptic number.

It is an amenable number.

3846000040 is an abundant number, since it is smaller than the sum of its proper divisors (4881037160).

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

3846000040 is a wasteful number, since it uses less digits than its factorization.

3846000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 1962 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 3846000040 is about 62016.1272573514. The cubic root of 3846000040 is about 1566.7622349025.

The spelling of 3846000040 in words is "three billion, eight hundred forty-six million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 229 293 458 586 916 1145 1172 1433 1465 1832 2290 2344 2866 2930 4580 5732 5860 7165 9160 11464 11720 14330 28660 57320 67097 134194 268388 328157 335485 419869 536776 656314 670970 839738 1312628 1341940 1640785 1679476 2099345 2625256 2683880 3281570 3358952 4198690 6563140 8397380 13126280 16794760 96150001 192300002 384600004 480750005 769200008 961500010 1923000020 3846000040