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42241024 = 21077183
BaseRepresentation
bin1010000100100…
…0110000000000
32221111001210101
42201020300000
541303203044
64105212144
71022020450
oct241106000
987431711
1042241024
1121931341
1212191054
13899c8b7
145877d60
153a95cd4
hex2848c00

42241024 has 88 divisors (see below), whose sum is σ = 99042048. Its totient is φ = 17633280.

The previous prime is 42240977. The next prime is 42241027. The reversal of 42241024 is 42014224.

It is a junction number, because it is equal to n+sod(n) for n = 42240992 and 42241010.

It is not an unprimeable number, because it can be changed into a prime (42241027) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 508887 + ... + 508969.

Almost surely, 242241024 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 42241024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49521024).

42241024 is an abundant number, since it is smaller than the sum of its proper divisors (56801024).

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

42241024 is an equidigital number, since it uses as much as digits as its factorization.

42241024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 42241024 is about 6499.3095017856. The cubic root of 42241024 is about 348.2663218748.

Adding to 42241024 its reverse (42014224), we get a palindrome (84255248).

The spelling of 42241024 in words is "forty-two million, two hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 71 83 112 128 142 166 224 256 284 332 448 497 512 568 581 664 896 994 1024 1136 1162 1328 1792 1988 2272 2324 2656 3584 3976 4544 4648 5312 5893 7168 7952 9088 9296 10624 11786 15904 18176 18592 21248 23572 31808 36352 37184 41251 42496 47144 63616 72704 74368 82502 84992 94288 127232 148736 165004 188576 254464 297472 330008 377152 508928 594944 660016 754304 1320032 1508608 2640064 3017216 5280128 6034432 10560256 21120512 42241024