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45475140 = 223523311063
BaseRepresentation
bin1010110101111…
…0010101000100
310011120101011110
42231132111010
543120201030
64302405020
71061350404
oct255362504
9104511143
1045475140
1123740167
1213290770
139562989
14607a804
153ed41b0
hex2b5e544

45475140 has 96 divisors (see below), whose sum is σ = 137281536. Its totient is φ = 11214720.

The previous prime is 45475091. The next prime is 45475141. The reversal of 45475140 is 4157454.

45475140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 45475098 and 45475107.

It is not an unprimeable number, because it can be changed into a prime (45475141) 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 31 ways as a sum of consecutive naturals, for example, 42249 + ... + 43311.

It is an arithmetic number, because the mean of its divisors is an integer number (1430016).

Almost surely, 245475140 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 45475140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68640768).

45475140 is an abundant number, since it is smaller than the sum of its proper divisors (91806396).

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

45475140 is a wasteful number, since it uses less digits than its factorization.

45475140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1127 counting only the distinct ones).

The product of its (nonzero) digits is 11200, while the sum is 30.

The square root of 45475140 is about 6743.5257840391. The cubic root of 45475140 is about 356.9368184527.

The spelling of 45475140 in words is "forty-five million, four hundred seventy-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 31 46 60 62 69 92 93 115 124 138 155 186 230 276 310 345 372 460 465 620 690 713 930 1063 1380 1426 1860 2126 2139 2852 3189 3565 4252 4278 5315 6378 7130 8556 10630 10695 12756 14260 15945 21260 21390 24449 31890 32953 42780 48898 63780 65906 73347 97796 98859 122245 131812 146694 164765 197718 244490 293388 329530 366735 395436 488980 494295 659060 733470 757919 988590 1466940 1515838 1977180 2273757 3031676 3789595 4547514 7579190 9095028 11368785 15158380 22737570 45475140