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2000000046 = 231126145161
BaseRepresentation
bin111011100110101…
…1001010000101110
312011101100112021210
41313031121100232
513044000000141
6530242535250
7100363501632
oct16715312056
95141315253
102000000046
11936a47700
12479967526
1325b4773a5
1414d898dc2
15ba8b2916
hex7735942e

2000000046 has 48 divisors (see below), whose sum is σ = 4468870224. Its totient is φ = 596112000.

The previous prime is 2000000033. The next prime is 2000000063. The reversal of 2000000046 is 6400000002.

It is a junction number, because it is equal to n+sod(n) for n = 1999999968 and 2000000040.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 21706 + ... + 66866.

It is an arithmetic number, because the mean of its divisors is an integer number (93101463).

Almost surely, 22000000046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2000000046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2234435112).

2000000046 is an abundant number, since it is smaller than the sum of its proper divisors (2468870178).

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

2000000046 is a wasteful number, since it uses less digits than its factorization.

2000000046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45249 (or 45238 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2000000046 is about 44721.3600642914. The cubic root of 2000000046 is about 1259.9210595543.

Adding to 2000000046 its reverse (6400000002), we get a palindrome (8400000048).

The spelling of 2000000046 in words is "two billion, forty-six", and thus it is an aban number, an eban number, and an uban number.

Divisors: 1 2 3 6 11 22 33 61 66 121 122 183 242 363 366 671 726 1342 2013 4026 7381 14762 22143 44286 45161 90322 135483 270966 496771 993542 1490313 2754821 2980626 5464481 5509642 8264463 10928962 16393443 16528926 30303031 32786886 60606062 90909093 181818186 333333341 666666682 1000000023 2000000046