Search a number
-
+
421448832 = 273475807
BaseRepresentation
bin11001000111101…
…100110010000000
31002101000211010000
4121013230302000
51330342330312
6105453040000
713305153540
oct3107546200
91071024100
10421448832
111a6995822
12b9186000
136941130c
143dd89320
1526eedadc
hex191ecc80

421448832 has 160 divisors (see below), whose sum is σ = 1433646720. Its totient is φ = 120393216.

The previous prime is 421448791. The next prime is 421448837. The reversal of 421448832 is 238844124.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (421448837) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69673 + ... + 75479.

It is an arithmetic number, because the mean of its divisors is an integer number (8960292).

Almost surely, 2421448832 is an apocalyptic number.

421448832 is a gapful number since it is divisible by the number (42) 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 421448832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (716823360).

421448832 is an abundant number, since it is smaller than the sum of its proper divisors (1012197888).

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

421448832 is an equidigital number, since it uses as much as digits as its factorization.

421448832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5840 (or 5819 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 421448832 is about 20529.2189817343. The cubic root of 421448832 is about 749.7473709143.

The spelling of 421448832 in words is "four hundred twenty-one million, four hundred forty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 5807 6048 8064 9072 10368 11614 12096 17421 18144 23228 24192 34842 36288 40649 46456 52263 69684 72576 81298 92912 104526 121947 139368 156789 162596 185824 209052 243894 278736 313578 325192 365841 371648 418104 470367 487788 557472 627156 650384 731682 743296 836208 940734 975576 1097523 1114944 1254312 1300768 1463364 1672416 1881468 1951152 2195046 2229888 2508624 2601536 2926728 3292569 3344832 3762936 3902304 4390092 5017248 5203072 5853456 6585138 6689664 7525872 7804608 8780184 10034496 11706912 13170276 15051744 15609216 17560368 20068992 23413824 26340552 30103488 35120736 46827648 52681104 60206976 70241472 105362208 140482944 210724416 421448832