Search a number
-
+
448595420 = 225713317951
BaseRepresentation
bin11010101111010…
…000010111011100
31011021010000020012
4122233100113130
51404320023140
6112302542352
714054666240
oct3257202734
91137100205
10448595420
11210247419
121062979b8
1371c275a0
1443814420
15295b2265
hex1abd05dc

448595420 has 96 divisors (see below), whose sum is σ = 1196998656. Its totient is φ = 137376000.

The previous prime is 448595387. The next prime is 448595431. The reversal of 448595420 is 24595844.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52445 + ... + 60395.

It is an arithmetic number, because the mean of its divisors is an integer number (12468736).

Almost surely, 2448595420 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 448595420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (598499328).

448595420 is an abundant number, since it is smaller than the sum of its proper divisors (748403236).

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

448595420 is a wasteful number, since it uses less digits than its factorization.

448595420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8011 (or 8009 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The square root of 448595420 is about 21180.0712935533. The cubic root of 448595420 is about 765.5113103880.

The spelling of 448595420 in words is "four hundred forty-eight million, five hundred ninety-five thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 31 35 52 62 65 70 91 124 130 140 155 182 217 260 310 364 403 434 455 620 806 868 910 1085 1612 1820 2015 2170 2821 4030 4340 5642 7951 8060 11284 14105 15902 28210 31804 39755 55657 56420 79510 103363 111314 159020 206726 222628 246481 278285 413452 492962 516815 556570 723541 985924 1033630 1113140 1232405 1447082 1725367 2067260 2464810 2894164 3204253 3450734 3617705 4929620 6408506 6901468 7235410 8626835 12817012 14470820 16021265 17253670 22429771 32042530 34507340 44859542 64085060 89719084 112148855 224297710 448595420