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506402743 = 71171211439
BaseRepresentation
bin11110001011110…
…001011110110111
31022021212220222011
4132023301132313
52014114341433
6122125545051
715356231560
oct3613613667
91267786864
10506402743
1123a93a970
12121715187
1380bb74c2
144b381167
152e6d03cd
hex1e2f17b7

506402743 has 32 divisors (see below), whose sum is σ = 644751360. Its totient is φ = 386316000.

The previous prime is 506402737. The next prime is 506402761. The reversal of 506402743 is 347204605.

It is not a de Polignac number, because 506402743 - 25 = 506402711 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506402713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1153318 + ... + 1153756.

It is an arithmetic number, because the mean of its divisors is an integer number (20148480).

Almost surely, 2506402743 is an apocalyptic number.

506402743 is a deficient number, since it is larger than the sum of its proper divisors (138348617).

506402743 is a wasteful number, since it uses less digits than its factorization.

506402743 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 739.

The product of its (nonzero) digits is 20160, while the sum is 31.

The square root of 506402743 is about 22503.3940329009. The cubic root of 506402743 is about 797.0740737198.

The spelling of 506402743 in words is "five hundred six million, four hundred two thousand, seven hundred forty-three".

Divisors: 1 7 11 71 77 211 439 497 781 1477 2321 3073 4829 5467 14981 16247 31169 33803 92629 104867 164791 218183 342859 648403 1018919 1153537 2400013 6576659 7132433 46036613 72343249 506402743