Search a number
-
+
46126528 = 267195419
BaseRepresentation
bin1010111111110…
…1010111000000
310012210110200221
42233331113000
543302022103
64324352424
71100032450
oct257752700
9105713627
1046126528
11240455a8
1213545714
139730306
1461a9d60
1540b21bd
hex2bfd5c0

46126528 has 56 divisors (see below), whose sum is σ = 110134400. Its totient is φ = 18724608.

The previous prime is 46126519. The next prime is 46126529. The reversal of 46126528 is 82562164.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 46126493 and 46126502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46126529) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5803 + ... + 11221.

Almost surely, 246126528 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 46126528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55067200).

46126528 is an abundant number, since it is smaller than the sum of its proper divisors (64007872).

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

46126528 is a wasteful number, since it uses less digits than its factorization.

46126528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5457 (or 5447 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 46126528 is about 6791.6513455860. The cubic root of 46126528 is about 358.6330051066.

The spelling of 46126528 in words is "forty-six million, one hundred twenty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 133 152 224 266 304 448 532 608 1064 1216 2128 4256 5419 8512 10838 21676 37933 43352 75866 86704 102961 151732 173408 205922 303464 346816 411844 606928 720727 823688 1213856 1441454 1647376 2427712 2882908 3294752 5765816 6589504 11531632 23063264 46126528