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45273756 = 223112911827
BaseRepresentation
bin1010110010110…
…1001010011100
310011012010220210
42230231022130
543042230011
64254212420
71056551313
oct254551234
9104163823
1045273756
1123612930
12131b4110
1394c2108
14602727a
153e946a6
hex2b2d29c

45273756 has 48 divisors (see below), whose sum is σ = 119226240. Its totient is φ = 13245120.

The previous prime is 45273743. The next prime is 45273757. The reversal of 45273756 is 65737254.

45273756 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45273757) by changing a digit.

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, 2086 + ... + 9741.

It is an arithmetic number, because the mean of its divisors is an integer number (2483880).

Almost surely, 245273756 is an apocalyptic number.

It is an amenable number.

45273756 is an abundant number, since it is smaller than the sum of its proper divisors (73952484).

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

45273756 is a wasteful number, since it uses less digits than its factorization.

45273756 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11874 (or 11872 counting only the distinct ones).

The product of its digits is 176400, while the sum is 39.

The square root of 45273756 is about 6728.5775614167. The cubic root of 45273756 is about 356.4091474838.

The spelling of 45273756 in words is "forty-five million, two hundred seventy-three thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 29 33 44 58 66 87 116 132 174 319 348 638 957 1276 1914 3828 11827 23654 35481 47308 70962 130097 141924 260194 342983 390291 520388 685966 780582 1028949 1371932 1561164 2057898 3772813 4115796 7545626 11318439 15091252 22636878 45273756