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442401640 = 23511060041
BaseRepresentation
bin11010010111101…
…000001101101000
31010211110022221221
4122113220031220
51401223323030
6111522111424
713651231462
oct3227501550
91124408857
10442401640
112077a699a
121041ab574
1370869325
1442a81132
1528c8be7a
hex1a5e8368

442401640 has 16 divisors (see below), whose sum is σ = 995403780. Its totient is φ = 176960640.

The previous prime is 442401629. The next prime is 442401677. The reversal of 442401640 is 46104244.

It can be written as a sum of positive squares in 2 ways, for example, as 426257316 + 16144324 = 20646^2 + 4018^2 .

It is a super-2 number, since 2×4424016402 = 391438422149379200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5529981 + ... + 5530060.

Almost surely, 2442401640 is an apocalyptic number.

442401640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

442401640 is an abundant number, since it is smaller than the sum of its proper divisors (553002140).

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

442401640 is a wasteful number, since it uses less digits than its factorization.

442401640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11060052 (or 11060048 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 442401640 is about 21033.3459059656. The cubic root of 442401640 is about 761.9718187533.

Adding to 442401640 its reverse (46104244), we get a palindrome (488505884).

The spelling of 442401640 in words is "four hundred forty-two million, four hundred one thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 11060041 22120082 44240164 55300205 88480328 110600410 221200820 442401640