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41442000 = 243536907
BaseRepresentation
bin1001111000010…
…1101011010000
32212222110201220
42132011223100
541102121000
64040125040
71012152105
oct236055320
985873656
1041442000
1121435a96
1211a66780
13877ccc2
14570aaac
1539891a0
hex2785ad0

41442000 has 80 divisors (see below), whose sum is σ = 133628352. Its totient is φ = 11049600.

The previous prime is 41441999. The next prime is 41442001. The reversal of 41442000 is 24414.

It is an interprime number because it is at equal distance from previous prime (41441999) and next prime (41442001).

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 (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41442001) 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, 2547 + ... + 9453.

Almost surely, 241442000 is an apocalyptic number.

41442000 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 41442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66814176).

41442000 is an abundant number, since it is smaller than the sum of its proper divisors (92186352).

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

41442000 is a wasteful number, since it uses less digits than its factorization.

41442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6933 (or 6917 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 41442000 is about 6437.5461163397. The cubic root of 41442000 is about 346.0564132236.

Adding to 41442000 its reverse (24414), we get a palindrome (41466414).

The spelling of 41442000 in words is "forty-one million, four hundred forty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 6907 13814 20721 27628 34535 41442 55256 69070 82884 103605 110512 138140 165768 172675 207210 276280 331536 345350 414420 518025 552560 690700 828840 863375 1036050 1381400 1657680 1726750 2072100 2590125 2762800 3453500 4144200 5180250 6907000 8288400 10360500 13814000 20721000 41442000