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145516257 = 3441431019
BaseRepresentation
bin10001010110001…
…10011011100001
3101010210222210000
420223012123201
5244223010012
622234530213
73414603435
oct1053063341
9333728700
10145516257
117515a577
1240896969
13241bc0c3
141547c9c5
15cb95ddc
hex8ac66e1

145516257 has 40 divisors (see below), whose sum is σ = 228080160. Its totient is φ = 92352960.

The previous prime is 145516249. The next prime is 145516271. The reversal of 145516257 is 752615541.

It is not a de Polignac number, because 145516257 - 23 = 145516249 is a prime.

It is not an unprimeable number, because it can be changed into a prime (145516247) 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 39 ways as a sum of consecutive naturals, for example, 142294 + ... + 143312.

It is an arithmetic number, because the mean of its divisors is an integer number (5702004).

Almost surely, 2145516257 is an apocalyptic number.

It is an amenable number.

145516257 is a deficient number, since it is larger than the sum of its proper divisors (82563903).

145516257 is a wasteful number, since it uses less digits than its factorization.

145516257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1115 (or 1106 counting only the distinct ones).

The product of its digits is 42000, while the sum is 36.

The square root of 145516257 is about 12063.0119373231. The cubic root of 145516257 is about 525.9815433485.

The spelling of 145516257 in words is "one hundred forty-five million, five hundred sixteen thousand, two hundred fifty-seven".

Divisors: 1 3 9 27 41 43 81 123 129 369 387 1019 1107 1161 1763 3057 3321 3483 5289 9171 15867 27513 41779 43817 47601 82539 125337 131451 142803 376011 394353 1128033 1183059 1796497 3384099 3549177 5389491 16168473 48505419 145516257