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42054348 = 22372371933
BaseRepresentation
bin1010000001101…
…1001011001100
32221010120201110
42200123023030
541231214343
64101212020
71020312300
oct240331314
987116643
1042054348
1121814066
1212101010
13893593b
145829d00
153a5a833
hex281b2cc

42054348 has 72 divisors (see below), whose sum is σ = 117293232. Its totient is φ = 11684736.

The previous prime is 42054347. The next prime is 42054349. The reversal of 42054348 is 84345024.

42054348 is an esthetic number in base 12, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (42054347) and next prime (42054349).

It is not an unprimeable number, because it can be changed into a prime (42054347) by changing a digit.

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, 20790 + ... + 22722.

Almost surely, 242054348 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 42054348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58646616).

42054348 is an abundant number, since it is smaller than the sum of its proper divisors (75238884).

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

42054348 is a wasteful number, since it uses less digits than its factorization.

42054348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1982 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

The square root of 42054348 is about 6484.9323820685. The cubic root of 42054348 is about 347.7525324801.

The spelling of 42054348 in words is "forty-two million, fifty-four thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 37 42 49 74 84 98 111 147 148 196 222 259 294 444 518 588 777 1036 1554 1813 1933 3108 3626 3866 5439 5799 7252 7732 10878 11598 13531 21756 23196 27062 40593 54124 71521 81186 94717 143042 162372 189434 214563 284151 286084 378868 429126 500647 568302 858252 1001294 1136604 1501941 2002588 3003882 3504529 6007764 7009058 10513587 14018116 21027174 42054348