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41742220 = 22513181887
BaseRepresentation
bin1001111100111…
…0111110001100
32220112201120011
42133032332030
541141222340
64050403004
71014542302
oct237167614
986481504
1041742220
1121620603
1211b90464
138856850
145788272
1539e80ea
hex27cef8c

41742220 has 48 divisors (see below), whose sum is σ = 95030208. Its totient is φ = 15310080.

The previous prime is 41742209. The next prime is 41742227. The reversal of 41742220 is 2224714.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 41742191 and 41742200.

It is not an unprimeable number, because it can be changed into a prime (41742227) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46617 + ... + 47503.

It is an arithmetic number, because the mean of its divisors is an integer number (1979796).

Almost surely, 241742220 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 41742220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47515104).

41742220 is an abundant number, since it is smaller than the sum of its proper divisors (53287988).

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

41742220 is a wasteful number, since it uses less digits than its factorization.

41742220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1088 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 41742220 is about 6460.8219291356. The cubic root of 41742220 is about 346.8900536713.

Adding to 41742220 its reverse (2224714), we get a palindrome (43966934).

The spelling of 41742220 in words is "forty-one million, seven hundred forty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 181 260 362 724 887 905 1774 1810 2353 3548 3620 4435 4706 8870 9412 11531 11765 17740 23062 23530 46124 47060 57655 115310 160547 230620 321094 642188 802735 1605470 2087111 3210940 4174222 8348444 10435555 20871110 41742220