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47430000 = 2432541731
BaseRepresentation
bin1011010011101…
…1100101110000
310022020200201200
42310323211300
544120230000
64412331200
71114101612
oct264734560
9108220650
1047430000
1124855952
1213a73b00
139a986b7
146428db2
15426d500
hex2d3b970

47430000 has 300 divisors, whose sum is σ = 181291968. Its totient is φ = 11520000.

The previous prime is 47429981. The next prime is 47430007. The reversal of 47430000 is 3474.

It is a tau number, because it is divible by the number of its divisors (300).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (47430007) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1529985 + ... + 1530015.

Almost surely, 247430000 is an apocalyptic number.

47430000 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 47430000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90645984).

47430000 is an abundant number, since it is smaller than the sum of its proper divisors (133861968).

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

47430000 is a wasteful number, since it uses less digits than its factorization.

47430000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 58 counting only the distinct ones).

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

The square root of 47430000 is about 6886.9441699494. The cubic root of 47430000 is about 361.9798326219.

Adding to 47430000 its reverse (3474), we get a palindrome (47433474).

The spelling of 47430000 in words is "forty-seven million, four hundred thirty thousand".