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53855742 = 23233112589
BaseRepresentation
bin1100110101110…
…0010111111110
310202100011012010
43031130113332
5102241340432
65202152050
71222523553
oct315342776
9122304163
1053855742
1128444686
1216052626
13b208405
14721ca2a
154adc3cc
hex335c5fe

53855742 has 32 divisors (see below), whose sum is σ = 116029440. Its totient is φ = 16616160.

The previous prime is 53855729. The next prime is 53855743. The reversal of 53855742 is 24755835.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 53855742.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53855743) 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 15 ways as a sum of consecutive naturals, for example, 2017 + ... + 10572.

It is an arithmetic number, because the mean of its divisors is an integer number (3625920).

Almost surely, 253855742 is an apocalyptic number.

53855742 is an abundant number, since it is smaller than the sum of its proper divisors (62173698).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53855742 is a wasteful number, since it uses less digits than its factorization.

53855742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12648.

The product of its digits is 168000, while the sum is 39.

The square root of 53855742 is about 7338.6471505312. The cubic root of 53855742 is about 377.6394338949.

It can be divided in two parts, 538 and 55742, that added together give a triangular number (56280 = T335).

The spelling of 53855742 in words is "fifty-three million, eight hundred fifty-five thousand, seven hundred forty-two".

Divisors: 1 2 3 6 23 31 46 62 69 93 138 186 713 1426 2139 4278 12589 25178 37767 75534 289547 390259 579094 780518 868641 1170777 1737282 2341554 8975957 17951914 26927871 53855742