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145808593 = 7314311559
BaseRepresentation
bin10001011000011…
…01110011010001
3101011100211210021
420230031303101
5244311333333
622245103441
73420231640
oct1054156321
9334324707
10145808593
117533a177
12409b7b81
1324292198
1415517357
15cc0282d
hex8b0dcd1

145808593 has 16 divisors (see below), whose sum is σ = 172523520. Its totient is φ = 120589200.

The previous prime is 145808591. The next prime is 145808599. The reversal of 145808593 is 395808541.

It is a cyclic number.

It is not a de Polignac number, because 145808593 - 21 = 145808591 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145808591) 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, 92748 + ... + 94306.

It is an arithmetic number, because the mean of its divisors is an integer number (10782720).

Almost surely, 2145808593 is an apocalyptic number.

It is an amenable number.

145808593 is a deficient number, since it is larger than the sum of its proper divisors (26714927).

145808593 is a wasteful number, since it uses less digits than its factorization.

145808593 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028.

The product of its (nonzero) digits is 172800, while the sum is 43.

The square root of 145808593 is about 12075.1228979253. The cubic root of 145808593 is about 526.3335326276. Note that the first 3 decimals are identical.

The spelling of 145808593 in words is "one hundred forty-five million, eight hundred eight thousand, five hundred ninety-three".

Divisors: 1 7 31 217 431 1559 3017 10913 13361 48329 93527 338303 671929 4703503 20829799 145808593