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41284740 = 2235798297
BaseRepresentation
bin1001110101111…
…1010010000100
32212200111000110
42131133102010
541032102430
64032513020
71010625450
oct235372204
985614013
1041284740
1121338922
12119ab770
138726553
1456a9660
1539577b0
hex275f484

41284740 has 48 divisors (see below), whose sum is σ = 132112512. Its totient is φ = 9436416.

The previous prime is 41284729. The next prime is 41284741. The reversal of 41284740 is 4748214.

41284740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 41284698 and 41284707.

It is not an unprimeable number, because it can be changed into a prime (41284741) 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 15 ways as a sum of consecutive naturals, for example, 48729 + ... + 49568.

It is an arithmetic number, because the mean of its divisors is an integer number (2752344).

Almost surely, 241284740 is an apocalyptic number.

It is an amenable number.

41284740 is an abundant number, since it is smaller than the sum of its proper divisors (90827772).

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

41284740 is a wasteful number, since it uses less digits than its factorization.

41284740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98316 (or 98314 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 41284740 is about 6425.3202254829. The cubic root of 41284740 is about 345.6181314969.

It can be divided in two parts, 41284 and 740, that added together give a palindrome (42024).

The spelling of 41284740 in words is "forty-one million, two hundred eighty-four thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 98297 196594 294891 393188 491485 589782 688079 982970 1179564 1376158 1474455 1965940 2064237 2752316 2948910 3440395 4128474 5897820 6880790 8256948 10321185 13761580 20642370 41284740