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45332133 = 37112967101
BaseRepresentation
bin1010110011101…
…1011010100101
310011022002222220
42230323122211
543101112013
64255342553
71060213440
oct254733245
9104262886
1045332133
1123652780
1213221a59
139512862
146040657
153ea6b23
hex2b3b6a5

45332133 has 64 divisors (see below), whose sum is σ = 79902720. Its totient is φ = 22176000.

The previous prime is 45332129. The next prime is 45332171. The reversal of 45332133 is 33123354.

It is a happy number.

It is not a de Polignac number, because 45332133 - 22 = 45332129 is a prime.

It is a super-3 number, since 3×453321333 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45332113) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 448783 + ... + 448883.

It is an arithmetic number, because the mean of its divisors is an integer number (1248480).

Almost surely, 245332133 is an apocalyptic number.

It is an amenable number.

45332133 is a deficient number, since it is larger than the sum of its proper divisors (34570587).

45332133 is a wasteful number, since it uses less digits than its factorization.

45332133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218.

The product of its digits is 3240, while the sum is 24.

The square root of 45332133 is about 6732.9141536188. The cubic root of 45332133 is about 356.5622690155.

Adding to 45332133 its reverse (33123354), we get a palindrome (78455487).

It can be divided in two parts, 453321 and 33, that added together give a palindrome (453354).

The spelling of 45332133 in words is "forty-five million, three hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 3 7 11 21 29 33 67 77 87 101 201 203 231 303 319 469 609 707 737 957 1111 1407 1943 2121 2211 2233 2929 3333 5159 5829 6699 6767 7777 8787 13601 15477 20301 20503 21373 23331 32219 40803 47369 61509 64119 74437 96657 142107 149611 196243 223311 225533 448833 521059 588729 676599 1373701 1563177 2158673 4121103 6476019 15110711 45332133