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41854340 = 225111719231
BaseRepresentation
bin1001111110101…
…0010110000100
32220202102100202
42133222112010
541203314330
64053030032
71015520213
oct237522604
986672322
1041854340
1121697870
1212025318
1388958a8
1457b707a
153a1b445
hex27ea584

41854340 has 144 divisors (see below), whose sum is σ = 110605824. Its totient is φ = 13132800.

The previous prime is 41854303. The next prime is 41854343. The reversal of 41854340 is 4345814.

41854340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (41854343) 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 47 ways as a sum of consecutive naturals, for example, 1350125 + ... + 1350155.

It is an arithmetic number, because the mean of its divisors is an integer number (768096).

Almost surely, 241854340 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 41854340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55302912).

41854340 is an abundant number, since it is smaller than the sum of its proper divisors (68751484).

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

41854340 is a wasteful number, since it uses less digits than its factorization.

41854340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 29.

The square root of 41854340 is about 6469.4930249595. The cubic root of 41854340 is about 347.2003593369.

The spelling of 41854340 in words is "forty-one million, eight hundred fifty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 11 17 19 20 22 31 34 38 44 55 62 68 76 85 95 110 124 155 170 187 190 209 220 310 323 340 341 361 374 380 418 527 589 620 646 682 722 748 836 935 1045 1054 1178 1292 1364 1444 1615 1705 1805 1870 2090 2108 2356 2635 2945 3230 3410 3553 3610 3740 3971 4180 5270 5797 5890 6137 6460 6479 6820 7106 7220 7942 10013 10540 11191 11594 11780 12274 12958 14212 15884 17765 19855 20026 22382 23188 24548 25916 28985 30685 32395 35530 39710 40052 44764 50065 55955 57970 61370 64790 67507 71060 79420 100130 110143 111910 115940 122740 123101 129580 135014 190247 200260 220286 223820 246202 270028 337535 380494 440572 492404 550715 615505 675070 760988 951235 1101430 1231010 1350140 1902470 2092717 2202860 2462020 3804940 4185434 8370868 10463585 20927170 41854340