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442887401 = 11434911907
BaseRepresentation
bin11010011001011…
…110110011101001
31010212101000022002
4122121132303221
51401334344101
6111540340345
713655323625
oct3231366351
91125330262
10442887401
11207aa8950
121043a46b5
13709a9468
1442b6a185
1528d35d6b
hex1a65ece9

442887401 has 16 divisors (see below), whose sum is σ = 495652608. Its totient is φ = 392254800.

The previous prime is 442887377. The next prime is 442887413. The reversal of 442887401 is 104788244.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 442887401 - 214 = 442871017 is a prime.

It is a super-2 number, since 2×4428874012 = 392298499929069602, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (442887461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 231290 + ... + 233196.

It is an arithmetic number, because the mean of its divisors is an integer number (30978288).

Almost surely, 2442887401 is an apocalyptic number.

It is an amenable number.

442887401 is a deficient number, since it is larger than the sum of its proper divisors (52765207).

442887401 is a wasteful number, since it uses less digits than its factorization.

442887401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2452.

The product of its (nonzero) digits is 57344, while the sum is 38.

The square root of 442887401 is about 21044.8901398891. The cubic root of 442887401 is about 762.2506007248.

The spelling of 442887401 in words is "four hundred forty-two million, eight hundred eighty-seven thousand, four hundred one".

Divisors: 1 11 43 473 491 1907 5401 20977 21113 82001 232243 902011 936337 10299707 40262491 442887401