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42698040 = 23357114621
BaseRepresentation
bin1010001011100…
…0010100111000
32222100021200220
42202320110320
541412314130
64123100040
71025633040
oct242702470
988307626
1042698040
1122113740
1212371620
138acc918
145956720
153b36410
hex28b8538

42698040 has 128 divisors (see below), whose sum is σ = 159736320. Its totient is φ = 8870400.

The previous prime is 42698021. The next prime is 42698041. The reversal of 42698040 is 4089624.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 42697992 and 42698010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42698041) 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 31 ways as a sum of consecutive naturals, for example, 6930 + ... + 11550.

It is an arithmetic number, because the mean of its divisors is an integer number (1247940).

Almost surely, 242698040 is an apocalyptic number.

42698040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42698040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79868160).

42698040 is an abundant number, since it is smaller than the sum of its proper divisors (117038280).

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

42698040 is a wasteful number, since it uses less digits than its factorization.

42698040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4653 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 42698040 is about 6534.3737266857. The cubic root of 42698040 is about 349.5178121953.

The spelling of 42698040 in words is "forty-two million, six hundred ninety-eight thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 20 21 22 24 28 30 33 35 40 42 44 55 56 60 66 70 77 84 88 105 110 120 132 140 154 165 168 210 220 231 264 280 308 330 385 420 440 462 616 660 770 840 924 1155 1320 1540 1848 2310 3080 4620 4621 9240 9242 13863 18484 23105 27726 32347 36968 46210 50831 55452 64694 69315 92420 97041 101662 110904 129388 138630 152493 161735 184840 194082 203324 254155 258776 277260 304986 323470 355817 388164 406648 485205 508310 554520 609972 646940 711634 762465 776328 970410 1016620 1067451 1219944 1293880 1423268 1524930 1779085 1940820 2033240 2134902 2846536 3049860 3558170 3881640 4269804 5337255 6099720 7116340 8539608 10674510 14232680 21349020 42698040