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441450048 = 263131491187
BaseRepresentation
bin11010010011111…
…111111001000000
31010202122222121210
4122103333321000
51401002400143
6111445450120
713640156244
oct3223777100
91122588553
10441450048
11207206a56
12103a10940
13705c5160
14428b4424
1528b50033
hex1a4ffe40

441450048 has 112 divisors (see below), whose sum is σ = 1267358400. Its totient is φ = 134805504.

The previous prime is 441450043. The next prime is 441450077. The reversal of 441450048 is 840054144.

It is a junction number, because it is equal to n+sod(n) for n = 441449997 and 441450024.

It is not an unprimeable number, because it can be changed into a prime (441450043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 371311 + ... + 372497.

It is an arithmetic number, because the mean of its divisors is an integer number (11315700).

Almost surely, 2441450048 is an apocalyptic number.

441450048 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 441450048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633679200).

441450048 is an abundant number, since it is smaller than the sum of its proper divisors (825908352).

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

441450048 is a wasteful number, since it uses less digits than its factorization.

441450048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1364 (or 1354 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 441450048 is about 21010.7126961462. The cubic root of 441450048 is about 761.4251007767.

The spelling of 441450048 in words is "four hundred forty-one million, four hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 149 156 192 208 298 312 416 447 596 624 832 894 1187 1192 1248 1788 1937 2374 2384 2496 3561 3576 3874 4748 4768 5811 7122 7152 7748 9496 9536 11622 14244 14304 15431 15496 18992 23244 28488 28608 30862 30992 37984 46293 46488 56976 61724 61984 75968 92586 92976 113952 123448 123968 176863 185172 185952 227904 246896 353726 370344 371904 493792 530589 707452 740688 987584 1061178 1414904 1481376 2122356 2299219 2829808 2962752 4244712 4598438 5659616 6897657 8489424 9196876 11319232 13795314 16978848 18393752 27590628 33957696 36787504 55181256 73575008 110362512 147150016 220725024 441450048