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45338643 = 33717103137
BaseRepresentation
bin1010110011110…
…1000000010011
310011022102221000
42230331000103
543101314033
64255433043
71060241430
oct254750023
9104272830
1045338643
1123657659
1213225783
1395157cc
146042b87
153ea8a13
hex2b3d013

45338643 has 64 divisors (see below), whose sum is σ = 82667520. Its totient is φ = 23970816.

The previous prime is 45338639. The next prime is 45338717. The reversal of 45338643 is 34683354.

45338643 is a `hidden beast` number, since 4 + 5 + 3 + 3 + 8 + 643 = 666.

It is not a de Polignac number, because 45338643 - 22 = 45338639 is a prime.

It is a super-3 number, since 3×453386433 (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45338598 and 45338607.

It is not an unprimeable number, because it can be changed into a prime (45338143) 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, 330871 + ... + 331007.

It is an arithmetic number, because the mean of its divisors is an integer number (1291680).

Almost surely, 245338643 is an apocalyptic number.

45338643 is a deficient number, since it is larger than the sum of its proper divisors (37328877).

45338643 is a wasteful number, since it uses less digits than its factorization.

45338643 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 267 counting only the distinct ones).

The product of its digits is 103680, while the sum is 36.

The square root of 45338643 is about 6733.3975822017. The cubic root of 45338643 is about 356.5793364473.

The spelling of 45338643 in words is "forty-five million, three hundred thirty-eight thousand, six hundred forty-three".

Divisors: 1 3 7 9 17 21 27 51 63 103 119 137 153 189 309 357 411 459 721 927 959 1071 1233 1751 2163 2329 2781 2877 3213 3699 5253 6489 6987 8631 12257 14111 15759 16303 19467 20961 25893 36771 42333 47277 48909 62883 98777 110313 126999 146727 239887 296331 330939 380997 440181 719661 888993 1679209 2158983 2666979 5037627 6476949 15112881 45338643