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42884408 = 2372313529
BaseRepresentation
bin1010001110010…
…1110100111000
32222200202100102
42203211310320
541434300113
64131054532
71030340300
oct243456470
988622312
1042884408
1122230766
1212441448
138b666b8
1459a4600
153b71758
hex28e5d38

42884408 has 48 divisors (see below), whose sum is σ = 96580800. Its totient is φ = 17781120.

The previous prime is 42884399. The next prime is 42884441. The reversal of 42884408 is 80448824.

42884408 is nontrivially palindromic in base 13.

42884408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 10388 + ... + 13916.

It is an arithmetic number, because the mean of its divisors is an integer number (2012100).

Almost surely, 242884408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42884408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48290400).

42884408 is an abundant number, since it is smaller than the sum of its proper divisors (53696392).

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

42884408 is a wasteful number, since it uses less digits than its factorization.

42884408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3580 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 65536, while the sum is 38.

The square root of 42884408 is about 6548.6187856677. The cubic root of 42884408 is about 350.0255981278.

The spelling of 42884408 in words is "forty-two million, eight hundred eighty-four thousand, four hundred eight".

Divisors: 1 2 4 7 8 14 28 31 49 56 62 98 124 196 217 248 392 434 868 1519 1736 3038 3529 6076 7058 12152 14116 24703 28232 49406 98812 109399 172921 197624 218798 345842 437596 691684 765793 875192 1383368 1531586 3063172 5360551 6126344 10721102 21442204 42884408