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45135153 = 3271723767
BaseRepresentation
bin1010110000101…
…1010100110001
310010221002210100
42230023110301
543023311103
64251223013
71055433240
oct254132461
9103832710
1045135153
1123528788
1213147a69
139473cbb
145dcc957
153e685a3
hex2b0b531

45135153 has 72 divisors (see below), whose sum is σ = 82501952. Its totient is φ = 23265792.

The previous prime is 45135121. The next prime is 45135161. The reversal of 45135153 is 35153154.

It is not a de Polignac number, because 45135153 - 25 = 45135121 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (45135253) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 673626 + ... + 673692.

Almost surely, 245135153 is an apocalyptic number.

It is an amenable number.

45135153 is a deficient number, since it is larger than the sum of its proper divisors (37366799).

45135153 is a wasteful number, since it uses less digits than its factorization.

45135153 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 131 counting only the distinct ones).

The product of its digits is 4500, while the sum is 27.

The square root of 45135153 is about 6718.2700898371. The cubic root of 45135153 is about 356.0450669917.

The spelling of 45135153 in words is "forty-five million, one hundred thirty-five thousand, one hundred fifty-three".

Divisors: 1 3 7 9 17 21 37 51 63 67 111 119 153 201 259 289 333 357 469 603 629 777 867 1071 1139 1407 1887 2023 2331 2479 2601 3417 4221 4403 5661 6069 7437 7973 10251 10693 13209 17353 18207 19363 22311 23919 32079 39627 42143 52059 58089 71757 74851 96237 126429 135541 156177 174267 224553 295001 379287 406623 673659 716431 885003 1219869 2149293 2655009 5015017 6447879 15045051 45135153