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442624885248 = 29371319166667
BaseRepresentation
bin1100111000011100111…
…11111100001000000000
31120022111021210220010110
412130032133330020000
524222443432311443
6535201123231320
743656441306330
oct6341637741000
91508437726113
10442624885248
11160797232597
127194a218540
133297c467730
14175cd20d0c0
15b7a8a79233
hex670e7fc200

442624885248 has 320 divisors, whose sum is σ = 1527692221440. Its totient is φ = 110591557632.

The previous prime is 442624885243. The next prime is 442624885277. The reversal of 442624885248 is 842588426244.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (442624885243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2572411 + ... + 2739077.

It is an arithmetic number, because the mean of its divisors is an integer number (4774038192).

Almost surely, 2442624885248 is an apocalyptic number.

442624885248 is a gapful number since it is divisible by the number (48) 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 442624885248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (763846110720).

442624885248 is an abundant number, since it is smaller than the sum of its proper divisors (1085067336192).

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

442624885248 is a wasteful number, since it uses less digits than its factorization.

442624885248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166727 (or 166711 counting only the distinct ones).

The product of its digits is 31457280, while the sum is 57.

The spelling of 442624885248 in words is "four hundred forty-two billion, six hundred twenty-four million, eight hundred eighty-five thousand, two hundred forty-eight".