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442416601 = 11199202109
BaseRepresentation
bin11010010111101…
…011110111011001
31010211111002111001
4122113223313121
51401224312401
6111522305001
713651323214
oct3227536731
91124432431
10442416601
11207807160
121041b8161
1370873093
1442a8677b
1528c91601
hex1a5ebdd9

442416601 has 8 divisors (see below), whose sum is σ = 485064000. Its totient is φ = 400173840.

The previous prime is 442416563. The next prime is 442416641. The reversal of 442416601 is 106614244.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 442416601 - 215 = 442383833 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 442416601.

It is not an unprimeable number, because it can be changed into a prime (442416641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98866 + ... + 103243.

It is an arithmetic number, because the mean of its divisors is an integer number (60633000).

Almost surely, 2442416601 is an apocalyptic number.

It is an amenable number.

442416601 is a deficient number, since it is larger than the sum of its proper divisors (42647399).

442416601 is a wasteful number, since it uses less digits than its factorization.

442416601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202319.

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 442416601 is about 21033.7015525085. The cubic root of 442416601 is about 761.9804080312.

It can be divided in two parts, 4424 and 16601, that added together give a square (21025 = 1452).

The spelling of 442416601 in words is "four hundred forty-two million, four hundred sixteen thousand, six hundred one".

Divisors: 1 11 199 2189 202109 2223199 40219691 442416601