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42054054 = 2372313457
BaseRepresentation
bin1010000001101…
…1000110100110
32221010120022120
42200123012212
541231212204
64101210410
71020311400
oct240330646
987116276
1042054054
1121813919
1212100a06
138935773
145829b70
153a5a6d9
hex281b1a6

42054054 has 48 divisors (see below), whose sum is σ = 98367408. Its totient is φ = 11950848.

The previous prime is 42054037. The next prime is 42054109. The reversal of 42054054 is 45045024.

42054054 is a modest number, since divided by 54054 gives 42 as remainder.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91794 + ... + 92250.

It is an arithmetic number, because the mean of its divisors is an integer number (2049321).

Almost surely, 242054054 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42054054, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49183704).

42054054 is an abundant number, since it is smaller than the sum of its proper divisors (56313354).

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

42054054 is a wasteful number, since it uses less digits than its factorization.

42054054 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 789 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 24.

The square root of 42054054 is about 6484.9097140978. The cubic root of 42054054 is about 347.7517221043.

Adding to 42054054 its reverse (45045024), we get a palindrome (87099078).

The spelling of 42054054 in words is "forty-two million, fifty-four thousand, fifty-four", and thus it is an eban number.

Divisors: 1 2 3 6 7 14 21 42 49 98 147 294 313 457 626 914 939 1371 1878 2191 2742 3199 4382 6398 6573 9597 13146 15337 19194 22393 30674 44786 46011 67179 92022 134358 143041 286082 429123 858246 1001287 2002574 3003861 6007722 7009009 14018018 21027027 42054054