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542605431 = 33161101947
BaseRepresentation
bin100000010101111…
…000000001110111
31101211000012201110
4200111320001313
52102401333211
6125501530103
716306033014
oct4025700167
91354005643
10542605431
11259317545
12131873933
1388551804
14520c670b
1532981ea6
hex20578077

542605431 has 32 divisors (see below), whose sum is σ = 767379456. Its totient is φ = 340560000.

The previous prime is 542605409. The next prime is 542605447. The reversal of 542605431 is 134506245.

It is not a de Polignac number, because 542605431 - 26 = 542605367 is a prime.

It is a super-2 number, since 2×5426054312 = 588841307501391522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542605471) 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 31 ways as a sum of consecutive naturals, for example, 572500 + ... + 573446.

It is an arithmetic number, because the mean of its divisors is an integer number (23980608).

Almost surely, 2542605431 is an apocalyptic number.

542605431 is a deficient number, since it is larger than the sum of its proper divisors (224774025).

542605431 is a wasteful number, since it uses less digits than its factorization.

542605431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1143.

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 542605431 is about 23293.8925686541. The cubic root of 542605431 is about 815.6328560891.

The spelling of 542605431 in words is "five hundred forty-two million, six hundred five thousand, four hundred thirty-one".

Divisors: 1 3 31 61 93 101 183 303 947 1891 2841 3131 5673 6161 9393 18483 29357 57767 88071 95647 173301 190991 286941 572973 1790777 2965057 5372331 5834467 8895171 17503401 180868477 542605431