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444200092 = 22735692
BaseRepresentation
bin11010011110011…
…111010010011100
31010221211200222021
4122132133102130
51402203400332
6112024425524
714002432000
oct3236372234
91127750867
10444200092
11208815116
121049182a4
1371048abb
1442dcc700
1528ee4c97
hex1a79f49c

444200092 has 36 divisors (see below), whose sum is σ = 908126800. Its totient is φ = 190036896.

The previous prime is 444200083. The next prime is 444200101. The reversal of 444200092 is 290002444.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (444200083) and next prime (444200101).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 780384 + ... + 780952.

Almost surely, 2444200092 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 444200092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454063400).

444200092 is an abundant number, since it is smaller than the sum of its proper divisors (463926708).

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

444200092 is an frugal number, since it uses more digits than its factorization.

444200092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 444200092 is about 21076.0549439405. The cubic root of 444200092 is about 763.0029458686.

The spelling of 444200092 in words is "four hundred forty-four million, two hundred thousand, ninety-two".

Divisors: 1 2 4 7 14 28 49 98 196 343 569 686 1138 1372 2276 3983 7966 15932 27881 55762 111524 195167 323761 390334 647522 780668 1295044 2266327 4532654 9065308 15864289 31728578 63457156 111050023 222100046 444200092