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41774940 = 22345107241
BaseRepresentation
bin1001111101011…
…0111101011100
32220121101110000
42133112331130
541143244230
64051214300
71015036554
oct237267534
986541400
1041774940
1121643149
1211ba7390
1388686cc
145796164
153a02b60
hex27d6f5c

41774940 has 120 divisors (see below), whose sum is σ = 132823152. Its totient is φ = 10990080.

The previous prime is 41774917. The next prime is 41774987. The reversal of 41774940 is 4947714.

It is a super-2 number, since 2×417749402 = 3490291224007200, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 41774895 and 41774904.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 173220 + ... + 173460.

Almost surely, 241774940 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 41774940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66411576).

41774940 is an abundant number, since it is smaller than the sum of its proper divisors (91048212).

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

41774940 is a wasteful number, since it uses less digits than its factorization.

41774940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 41774940 is about 6463.3536186720. The cubic root of 41774940 is about 346.9806675884.

It can be divided in two parts, 417 and 74940, that added together give a palindrome (75357).

The spelling of 41774940 in words is "forty-one million, seven hundred seventy-four thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 107 108 135 162 180 214 241 270 321 324 405 428 482 535 540 642 723 810 963 964 1070 1205 1284 1446 1605 1620 1926 2140 2169 2410 2889 2892 3210 3615 3852 4338 4815 4820 5778 6420 6507 7230 8667 8676 9630 10845 11556 13014 14445 14460 17334 19260 19521 21690 25787 26028 28890 32535 34668 39042 43335 43380 51574 57780 65070 77361 78084 86670 97605 103148 128935 130140 154722 173340 195210 232083 257870 309444 386805 390420 464166 515740 696249 773610 928332 1160415 1392498 1547220 2088747 2320830 2784996 3481245 4177494 4641660 6962490 8354988 10443735 13924980 20887470 41774940