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441420096 = 2631317101103
BaseRepresentation
bin11010010011111…
…000100101000000
31010202121110112110
4122103320211000
51401000420341
6111445055320
713640003025
oct3223704500
91122543473
10441420096
112071964a7
121039b7540
13705b4630
14428a754c
1528b46216
hex1a4f8940

441420096 has 224 divisors, whose sum is σ = 1357993728. Its totient is φ = 125337600.

The previous prime is 441420037. The next prime is 441420097. The reversal of 441420096 is 690024144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (441420097) 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, 4285581 + ... + 4285683.

It is an arithmetic number, because the mean of its divisors is an integer number (6062472).

Almost surely, 2441420096 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 441420096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678996864).

441420096 is an abundant number, since it is smaller than the sum of its proper divisors (916573632).

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

441420096 is a wasteful number, since it uses less digits than its factorization.

441420096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 441420096 is about 21009.9999048072. Note that the first 4 decimals coincide. The cubic root of 441420096 is about 761.4078797113.

The spelling of 441420096 in words is "four hundred forty-one million, four hundred twenty thousand, ninety-six".