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42048318 = 2313292641
BaseRepresentation
bin1010000001100…
…1101100111110
32221010021110010
42200121230332
541231021233
64101124050
71020255564
oct240315476
987107403
1042048318
112180a584
12120b9626
138932c80
145827a34
153a58b63
hex2819b3e

42048318 has 48 divisors (see below), whose sum is σ = 93942576. Its totient is φ = 12472320.

The previous prime is 42048313. The next prime is 42048319. The reversal of 42048318 is 81384024.

42048318 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×420483182 = 3536122093258248, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42048313) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 65278 + ... + 65918.

It is an arithmetic number, because the mean of its divisors is an integer number (1957137).

Almost surely, 242048318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42048318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46971288).

42048318 is an abundant number, since it is smaller than the sum of its proper divisors (51894258).

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

42048318 is a wasteful number, since it uses less digits than its factorization.

42048318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 42048318 is about 6484.4674415097. The cubic root of 42048318 is about 347.7359107505.

The spelling of 42048318 in words is "forty-two million, forty-eight thousand, three hundred eighteen".

Divisors: 1 2 3 6 13 26 29 39 58 78 87 174 377 641 754 841 1131 1282 1682 1923 2262 2523 3846 5046 8333 10933 16666 18589 21866 24999 32799 37178 49998 55767 65598 111534 241657 483314 539081 724971 1078162 1449942 1617243 3234486 7008053 14016106 21024159 42048318