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448509940 = 225291315903
BaseRepresentation
bin11010101110111…
…011011111110100
31011020221122222021
4122232323133310
51404304304230
6112301042524
714054162104
oct3256733764
91136848867
10448509940
1121019917a
12106256444
1371bc76c8
14437d1204
1529596c7a
hex1abbb7f4

448509940 has 48 divisors (see below), whose sum is σ = 981953280. Its totient is φ = 171866240.

The previous prime is 448509899. The next prime is 448509949. The reversal of 448509940 is 49905844.

It is a super-2 number, since 2×4485099402 = 402322332557607200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (448509949) 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, 73029 + ... + 78931.

It is an arithmetic number, because the mean of its divisors is an integer number (20457360).

Almost surely, 2448509940 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 448509940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490976640).

448509940 is an abundant number, since it is smaller than the sum of its proper divisors (533443340).

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

448509940 is a wasteful number, since it uses less digits than its factorization.

448509940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6072 (or 6070 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 43.

The square root of 448509940 is about 21178.0532627529. The cubic root of 448509940 is about 765.4626844914.

The spelling of 448509940 in words is "four hundred forty-eight million, five hundred nine thousand, nine hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 131 145 262 290 524 580 655 1310 2620 3799 5903 7598 11806 15196 18995 23612 29515 37990 59030 75980 118060 171187 342374 684748 773293 855935 1546586 1711870 3093172 3423740 3866465 7732930 15465860 22425497 44850994 89701988 112127485 224254970 448509940