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42304500 = 22325371779
BaseRepresentation
bin1010000101100…
…0001111110100
32221121021212100
42201120033310
541312221000
64110422100
71022403510
oct241301764
987537770
1042304500
1121974aa7
1212201930
1389c2764
145893140
153aa9a00
hex28583f4

42304500 has 288 divisors, whose sum is σ = 163537920. Its totient is φ = 8985600.

The previous prime is 42304499. The next prime is 42304523. The reversal of 42304500 is 540324.

It is a happy number.

It is a super-3 number, since 3×423045003 (a number of 24 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 535461 + ... + 535539.

It is an arithmetic number, because the mean of its divisors is an integer number (567840).

Almost surely, 242304500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42304500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81768960).

42304500 is an abundant number, since it is smaller than the sum of its proper divisors (121233420).

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

42304500 is a wasteful number, since it uses less digits than its factorization.

42304500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 42304500 is about 6504.1909566064. The cubic root of 42304500 is about 348.4406823025.

Adding to 42304500 its reverse (540324), we get a palindrome (42844824).

The spelling of 42304500 in words is "forty-two million, three hundred four thousand, five hundred".