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42711408 = 243398869
BaseRepresentation
bin1010001011101…
…1100101110000
32222100222001000
42202323211300
541413231113
64123242000
71026020025
oct242734560
988328030
1042711408
1122122793
1212379300
138b05a2c
14595b54c
153b3a373
hex28bb970

42711408 has 40 divisors (see below), whose sum is σ = 122598800. Its totient is φ = 14236992.

The previous prime is 42711349. The next prime is 42711421. The reversal of 42711408 is 80411724.

42711408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 49003 + ... + 49866.

It is an arithmetic number, because the mean of its divisors is an integer number (3064970).

Almost surely, 242711408 is an apocalyptic number.

42711408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42711408 is an abundant number, since it is smaller than the sum of its proper divisors (79887392).

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

42711408 is a wasteful number, since it uses less digits than its factorization.

42711408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98886 (or 98874 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 42711408 is about 6535.3965449696. The cubic root of 42711408 is about 349.5542843346.

The spelling of 42711408 in words is "forty-two million, seven hundred eleven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 98869 197738 296607 395476 593214 790952 889821 1186428 1581904 1779642 2372856 2669463 3559284 4745712 5338926 7118568 10677852 14237136 21355704 42711408