Search a number
-
+
511010046 = 23104327
BaseRepresentation
bin11110011101010…
…110010011111110
31022121120000000000
4132131112103332
52021304310141
6122412415130
715443341131
oct3635262376
91277500000
10511010046
112424a7458
121231774a6
1381b3b611
144bc20218
152ece05b6
hex1e7564fe

511010046 has 44 divisors (see below), whose sum is σ = 1150031832. Its totient is φ = 170297316.

The previous prime is 511010039. The next prime is 511010077. The reversal of 511010046 is 640010115.

It is a super-2 number, since 2×5110100462 = 522262534225844232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 21 ways as a sum of consecutive naturals, for example, 115935 + ... + 120261.

Almost surely, 2511010046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 511010046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (575015916).

511010046 is an abundant number, since it is smaller than the sum of its proper divisors (639021786).

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

511010046 is an frugal number, since it uses more digits than its factorization.

511010046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4359 (or 4332 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 511010046 is about 22605.5313142602. The cubic root of 511010046 is about 799.4840662954.

The spelling of 511010046 in words is "five hundred eleven million, ten thousand, forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 486 729 1458 2187 4327 4374 6561 8654 12981 13122 19683 25962 38943 39366 59049 77886 116829 118098 233658 350487 700974 1051461 2102922 3154383 6308766 9463149 18926298 28389447 56778894 85168341 170336682 255505023 511010046