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442479048 = 233115213217
BaseRepresentation
bin11010010111111…
…011000111001000
31010211121021010220
4122113323013020
51401233312143
6111523510040
713652003244
oct3227730710
91124537126
10442479048
1120784a070
12104228320
137089562b
1442aa1424
1528ca4d83
hex1a5fb1c8

442479048 has 64 divisors (see below), whose sum is σ = 1209453120. Its totient is φ = 133785600.

The previous prime is 442479047. The next prime is 442479091. The reversal of 442479048 is 840974244.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (442479047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135936 + ... + 139152.

It is an arithmetic number, because the mean of its divisors is an integer number (18897705).

Almost surely, 2442479048 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 442479048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604726560).

442479048 is an abundant number, since it is smaller than the sum of its proper divisors (766974072).

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

442479048 is a wasteful number, since it uses less digits than its factorization.

442479048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3758 (or 3754 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 442479048 is about 21035.1859511629. The cubic root of 442479048 is about 762.0162574634.

The spelling of 442479048 in words is "four hundred forty-two million, four hundred seventy-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 521 1042 1563 2084 3126 3217 4168 5731 6252 6434 9651 11462 12504 12868 17193 19302 22924 25736 34386 35387 38604 45848 68772 70774 77208 106161 137544 141548 212322 283096 424644 849288 1676057 3352114 5028171 6704228 10056342 13408456 18436627 20112684 36873254 40225368 55309881 73746508 110619762 147493016 221239524 442479048