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145742733 = 3412771409
BaseRepresentation
bin10001010111111…
…01101110001101
3101011020111110000
420223331232031
5244302231413
622243434513
73416535633
oct1053755615
9334214400
10145742733
11752a4744
1240985a39
132426b206
14154db353
15cbdd073
hex8afdb8d

145742733 has 20 divisors (see below), whose sum is σ = 218039580. Its totient is φ = 97016832.

The previous prime is 145742731. The next prime is 145742747. The reversal of 145742733 is 337247541.

145742733 is a `hidden beast` number, since 14 + 574 + 2 + 73 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 37124649 + 108618084 = 6093^2 + 10422^2 .

It is not a de Polignac number, because 145742733 - 21 = 145742731 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145742731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 102733 + ... + 104141.

It is an arithmetic number, because the mean of its divisors is an integer number (10901979).

Almost surely, 2145742733 is an apocalyptic number.

It is an amenable number.

145742733 is a deficient number, since it is larger than the sum of its proper divisors (72296847).

145742733 is a wasteful number, since it uses less digits than its factorization.

145742733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2698 (or 2689 counting only the distinct ones).

The product of its digits is 70560, while the sum is 36.

The square root of 145742733 is about 12072.3954955096. The cubic root of 145742733 is about 526.2542745030.

The spelling of 145742733 in words is "one hundred forty-five million, seven hundred forty-two thousand, seven hundred thirty-three".

Divisors: 1 3 9 27 81 1277 1409 3831 4227 11493 12681 34479 38043 103437 114129 1799293 5397879 16193637 48580911 145742733