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42030576 = 2434741113
BaseRepresentation
bin1010000001010…
…1010111110000
32221002101010000
42200111113300
541224434301
64100510000
71020153060
oct240252760
987071100
1042030576
11217a8215
12120ab300
138927b83
1458213a0
153a53786
hex28155f0

42030576 has 200 divisors, whose sum is σ = 143678304. Its totient is φ = 11612160.

The previous prime is 42030559. The next prime is 42030577. The reversal of 42030576 is 67503024.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42030577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 371896 + ... + 372008.

Almost surely, 242030576 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 42030576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71839152).

42030576 is an abundant number, since it is smaller than the sum of its proper divisors (101647728).

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

42030576 is a wasteful number, since it uses less digits than its factorization.

42030576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 42030576 is about 6483.0992588422. The cubic root of 42030576 is about 347.6869956075.

The spelling of 42030576 in words is "forty-two million, thirty thousand, five hundred seventy-six".