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442304028 = 2232174715377
BaseRepresentation
bin11010010111010…
…000011000011100
31010211021101001200
4122113100120130
51401212212103
6111520035500
713650344055
oct3227203034
91124241050
10442304028
1120773a621
12104162b90
1370833a7a
1442a5772c
1528c6d0a3
hex1a5d061c

442304028 has 72 divisors (see below), whose sum is σ = 1209079872. Its totient is φ = 135800832.

The previous prime is 442304003. The next prime is 442304029. The reversal of 442304028 is 820403244.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 442303992 and 442304010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442304029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21076 + ... + 36452.

It is an arithmetic number, because the mean of its divisors is an integer number (16792776).

Almost surely, 2442304028 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 442304028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604539936).

442304028 is an abundant number, since it is smaller than the sum of its proper divisors (766775844).

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

442304028 is a wasteful number, since it uses less digits than its factorization.

442304028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15451 (or 15446 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

The square root of 442304028 is about 21031.0253672996. The cubic root of 442304028 is about 761.9157738555.

The spelling of 442304028 in words is "four hundred forty-two million, three hundred four thousand, twenty-eight".