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45271744 = 267139727
BaseRepresentation
bin1010110010110…
…0101011000000
310011012001011021
42230230223000
543042143434
64254155224
71056542410
oct254545300
9104161137
1045271744
1123611371
12131b2b14
1394c121b
146026640
153e93cb4
hex2b2cac0

45271744 has 56 divisors (see below), whose sum is σ = 103550720. Its totient is φ = 19236096.

The previous prime is 45271741. The next prime is 45271747. The reversal of 45271744 is 44717254.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (45271741) and next prime (45271747).

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

It is not an unprimeable number, because it can be changed into a prime (45271741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 61909 + ... + 62635.

It is an arithmetic number, because the mean of its divisors is an integer number (1849120).

Almost surely, 245271744 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 45271744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51775360).

45271744 is an abundant number, since it is smaller than the sum of its proper divisors (58278976).

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

45271744 is a wasteful number, since it uses less digits than its factorization.

45271744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 885 (or 875 counting only the distinct ones).

The product of its digits is 31360, while the sum is 34.

The square root of 45271744 is about 6728.4280482145. The cubic root of 45271744 is about 356.4038677081.

Adding to 45271744 its reverse (44717254), we get a palindrome (89988998).

The spelling of 45271744 in words is "forty-five million, two hundred seventy-one thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 139 224 278 448 556 727 973 1112 1454 1946 2224 2908 3892 4448 5089 5816 7784 8896 10178 11632 15568 20356 23264 31136 40712 46528 62272 81424 101053 162848 202106 325696 404212 707371 808424 1414742 1616848 2829484 3233696 5658968 6467392 11317936 22635872 45271744