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42010848 = 25321189149
BaseRepresentation
bin1010000001000…
…0100011100000
32221001101001100
42200100203200
541223321343
64100234400
71020041415
oct240204340
987041040
1042010848
1121794410
121209ba00
13891bbb9
14581810c
153a4c9d3
hex28108e0

42010848 has 144 divisors (see below), whose sum is σ = 132678000. Its totient is φ = 12503040.

The previous prime is 42010819. The next prime is 42010861. The reversal of 42010848 is 84801024.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×420108482 = 3529822699358208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281878 + ... + 282026.

It is an arithmetic number, because the mean of its divisors is an integer number (921375).

Almost surely, 242010848 is an apocalyptic number.

42010848 is a gapful number since it is divisible by the number (48) 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 42010848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66339000).

42010848 is an abundant number, since it is smaller than the sum of its proper divisors (90667152).

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

42010848 is a wasteful number, since it uses less digits than its factorization.

42010848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 42010848 is about 6481.5775857425. The cubic root of 42010848 is about 347.6325888466.

The spelling of 42010848 in words is "forty-two million, ten thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 89 96 99 132 144 149 176 178 198 264 267 288 298 352 356 396 447 528 534 596 712 792 801 894 979 1056 1068 1192 1341 1424 1584 1602 1639 1788 1958 2136 2384 2682 2848 2937 3168 3204 3278 3576 3916 4272 4768 4917 5364 5874 6408 6556 7152 7832 8544 8811 9834 10728 11748 12816 13112 13261 14304 14751 15664 17622 19668 21456 23496 25632 26224 26522 29502 31328 35244 39336 39783 42912 46992 52448 53044 59004 70488 78672 79566 93984 106088 118008 119349 140976 145871 157344 159132 212176 236016 238698 281952 291742 318264 424352 437613 472032 477396 583484 636528 875226 954792 1166968 1273056 1312839 1750452 1909584 2333936 2625678 3500904 3819168 4667872 5251356 7001808 10502712 14003616 21005424 42010848