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47442000 = 243537907
BaseRepresentation
bin1011010011111…
…0100001010000
310022021022012010
42310332201100
544121121000
64412502520
71114151604
oct264764120
9108238163
1047442000
1124863971
1213a7aa40
139aa0cb8
14642d504
154271d50
hex2d3e850

47442000 has 80 divisors (see below), whose sum is σ = 152972352. Its totient is φ = 12649600.

The previous prime is 47441969. The next prime is 47442001. The reversal of 47442000 is 24474.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47442001) 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, 2047 + ... + 9953.

Almost surely, 247442000 is an apocalyptic number.

47442000 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 47442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76486176).

47442000 is an abundant number, since it is smaller than the sum of its proper divisors (105530352).

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

47442000 is a wasteful number, since it uses less digits than its factorization.

47442000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7933 (or 7917 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 21.

The square root of 47442000 is about 6887.8153285349. The cubic root of 47442000 is about 362.0103575478.

Adding to 47442000 its reverse (24474), we get a palindrome (47466474).

The spelling of 47442000 in words is "forty-seven 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 7907 15814 23721 31628 39535 47442 63256 79070 94884 118605 126512 158140 189768 197675 237210 316280 379536 395350 474420 593025 632560 790700 948840 988375 1186050 1581400 1897680 1976750 2372100 2965125 3162800 3953500 4744200 5930250 7907000 9488400 11860500 15814000 23721000 47442000