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41494440 = 23351367397
BaseRepresentation
bin1001111001001…
…0011110101000
32220002010200010
42132102132220
541110310230
64041211520
71012461021
oct236223650
986063603
1041494440
1121471429
1211a90ba0
13879ab30
145721c48
1539999b0
hex27927a8

41494440 has 128 divisors (see below), whose sum is σ = 136402560. Its totient is φ = 10036224.

The previous prime is 41494429. The next prime is 41494451. The reversal of 41494440 is 4449414.

41494440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (41494429) and next prime (41494451).

It is a super-3 number, since 3×414944403 (a number of 24 digits) contains 333 as substring.

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 = 41494398 and 41494407.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 104322 + ... + 104718.

It is an arithmetic number, because the mean of its divisors is an integer number (1065645).

Almost surely, 241494440 is an apocalyptic number.

41494440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41494440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68201280).

41494440 is an abundant number, since it is smaller than the sum of its proper divisors (94908120).

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

41494440 is a wasteful number, since it uses less digits than its factorization.

41494440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 487 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 41494440 is about 6441.6178092153. The cubic root of 41494440 is about 346.2023163276.

The spelling of 41494440 in words is "forty-one million, four hundred ninety-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 67 78 104 120 130 134 156 195 201 260 268 312 335 390 397 402 520 536 670 780 794 804 871 1005 1191 1340 1560 1588 1608 1742 1985 2010 2382 2613 2680 3176 3484 3970 4020 4355 4764 5161 5226 5955 6968 7940 8040 8710 9528 10322 10452 11910 13065 15483 15880 17420 20644 20904 23820 25805 26130 26599 30966 34840 41288 47640 51610 52260 53198 61932 77415 79797 103220 104520 106396 123864 132995 154830 159594 206440 212792 265990 309660 319188 345787 398985 531980 619320 638376 691574 797970 1037361 1063960 1383148 1595940 1728935 2074722 2766296 3191880 3457870 4149444 5186805 6915740 8298888 10373610 13831480 20747220 41494440