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46106712 = 23331131889
BaseRepresentation
bin1010111111100…
…0100001011000
310012202110112000
42233320201120
543300403322
64324121000
71066620621
oct257704130
9105673460
1046106712
1124031723
1213536160
1397242a2
1461a2a48
1540ab3ac
hex2bf8858

46106712 has 64 divisors (see below), whose sum is σ = 129276000. Its totient is φ = 15224832.

The previous prime is 46106681. The next prime is 46106741. The reversal of 46106712 is 21760164.

46106712 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23464 + ... + 25352.

Almost surely, 246106712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46106712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64638000).

46106712 is an abundant number, since it is smaller than the sum of its proper divisors (83169288).

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

46106712 is a wasteful number, since it uses less digits than its factorization.

46106712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2017 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 46106712 is about 6790.1923389548. The cubic root of 46106712 is about 358.5816413913.

Adding to 46106712 its reverse (21760164), we get a palindrome (67866876).

The spelling of 46106712 in words is "forty-six million, one hundred six thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 113 216 226 339 452 678 904 1017 1356 1889 2034 2712 3051 3778 4068 5667 6102 7556 8136 11334 12204 15112 17001 22668 24408 34002 45336 51003 68004 102006 136008 204012 213457 408024 426914 640371 853828 1280742 1707656 1921113 2561484 3842226 5122968 5763339 7684452 11526678 15368904 23053356 46106712