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41442320 = 24523101223
BaseRepresentation
bin1001111000010…
…1110000010000
32212222111011202
42132011300100
541102123240
64040130332
71012153043
oct236056020
985874152
1041442320
1121436257
1211a669a8
1387801aa
14570ac5a
153989315
hex2785c10

41442320 has 80 divisors (see below), whose sum is σ = 101993472. Its totient is φ = 15628800.

The previous prime is 41442281. The next prime is 41442329. The reversal of 41442320 is 2324414.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 41442292 and 41442301.

It is not an unprimeable number, because it can be changed into a prime (41442329) 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, 185729 + ... + 185951.

Almost surely, 241442320 is an apocalyptic number.

41442320 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 41442320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50996736).

41442320 is an abundant number, since it is smaller than the sum of its proper divisors (60551152).

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

41442320 is a wasteful number, since it uses less digits than its factorization.

41442320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 354 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 41442320 is about 6437.5709704826. The cubic root of 41442320 is about 346.0573039284.

Adding to 41442320 its reverse (2324414), we get a palindrome (43766734).

The spelling of 41442320 in words is "forty-one million, four hundred forty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 101 115 184 202 223 230 368 404 446 460 505 808 892 920 1010 1115 1616 1784 1840 2020 2230 2323 3568 4040 4460 4646 5129 8080 8920 9292 10258 11615 17840 18584 20516 22523 23230 25645 37168 41032 45046 46460 51290 82064 90092 92920 102580 112615 180184 185840 205160 225230 360368 410320 450460 518029 900920 1036058 1801840 2072116 2590145 4144232 5180290 8288464 10360580 20721160 41442320