Search a number
-
+
46486674 = 23213257773
BaseRepresentation
bin1011000101010…
…1010010010010
310020110202201200
42301111102102
543400033144
64340212030
71103062443
oct261252222
9106422650
1046486674
1124271143
121369a016
139828210
1462612ca
154133c69
hex2c55492

46486674 has 48 divisors (see below), whose sum is σ = 109031832. Its totient is φ = 14229504.

The previous prime is 46486669. The next prime is 46486679. The reversal of 46486674 is 47668464.

It is an interprime number because it is at equal distance from previous prime (46486669) and next prime (46486679).

It can be written as a sum of positive squares in 4 ways, for example, as 34892649 + 11594025 = 5907^2 + 3405^2 .

It is a super-2 number, since 2×464866742 = 4322021719164552, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (46486679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59752 + ... + 60524.

Almost surely, 246486674 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46486674, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54515916).

46486674 is an abundant number, since it is smaller than the sum of its proper divisors (62545158).

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

46486674 is a wasteful number, since it uses less digits than its factorization.

46486674 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1051 (or 1048 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 46486674 is about 6818.1136687503. The cubic root of 46486674 is about 359.5639628195.

The spelling of 46486674 in words is "forty-six million, four hundred eighty-six thousand, six hundred seventy-four".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 257 514 771 773 1542 1546 2313 2319 3341 4626 4638 6682 6957 10023 10049 13914 20046 20098 30069 30147 60138 60294 90441 180882 198661 397322 595983 1191966 1787949 2582593 3575898 5165186 7747779 15495558 23243337 46486674