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42273000 = 23325371161
BaseRepresentation
bin1010000101000…
…0100011101000
32221112200122200
42201100203220
541310214000
64110020200
71022212620
oct241204350
987480580
1042273000
1121953370
12121a7660
1389b1313
145885880
153aa0500
hex28508e8

42273000 has 384 divisors, whose sum is σ = 181059840. Its totient is φ = 8640000.

The previous prime is 42272963. The next prime is 42273001. The reversal of 42273000 is 37224.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (42273001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 692970 + ... + 693030.

It is an arithmetic number, because the mean of its divisors is an integer number (471510).

Almost surely, 242273000 is an apocalyptic number.

42273000 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 42273000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90529920).

42273000 is an abundant number, since it is smaller than the sum of its proper divisors (138786840).

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

42273000 is a wasteful number, since it uses less digits than its factorization.

42273000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 42273000 is about 6501.7689900519. The cubic root of 42273000 is about 348.3541776608.

It can be divided in two parts, 4227 and 3000, that added together give a palindrome (7227).

The spelling of 42273000 in words is "forty-two million, two hundred seventy-three thousand".