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41426160 = 24351011709
BaseRepresentation
bin1001111000000…
…1110011110000
32212221200000020
42132001303300
541101114120
64035523440
71012054656
oct236016360
985850006
1041426160
11214250a6
1211a59580
138775a29
145704dd6
153984640
hex2781cf0

41426160 has 80 divisors (see below), whose sum is σ = 129768480. Its totient is φ = 10931200.

The previous prime is 41426153. The next prime is 41426171. The reversal of 41426160 is 6162414.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×414261602 = 3432253464691200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 41426160.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23386 + ... + 25094.

It is an arithmetic number, because the mean of its divisors is an integer number (1622106).

Almost surely, 241426160 is an apocalyptic number.

41426160 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 41426160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64884240).

41426160 is an abundant number, since it is smaller than the sum of its proper divisors (88342320).

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

41426160 is a wasteful number, since it uses less digits than its factorization.

41426160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1826 (or 1820 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 41426160 is about 6436.3157163085. The cubic root of 41426160 is about 346.0123176031.

Adding to 41426160 its reverse (6162414), we get a palindrome (47588574).

The spelling of 41426160 in words is "forty-one million, four hundred twenty-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 101 120 202 240 303 404 505 606 808 1010 1212 1515 1616 1709 2020 2424 3030 3418 4040 4848 5127 6060 6836 8080 8545 10254 12120 13672 17090 20508 24240 25635 27344 34180 41016 51270 68360 82032 102540 136720 172609 205080 345218 410160 517827 690436 863045 1035654 1380872 1726090 2071308 2589135 2761744 3452180 4142616 5178270 6904360 8285232 10356540 13808720 20713080 41426160