Search a number
-
+
448290 = 232517293
BaseRepresentation
bin1101101011100100010
3211202221100
41231130202
5103321130
613335230
73544653
oct1553442
9752840
10448290
11286897
12197516
1312907b
14b952a
158cc60
hex6d722

448290 has 48 divisors (see below), whose sum is σ = 1238328. Its totient is φ = 112128.

The previous prime is 448249. The next prime is 448303. The reversal of 448290 is 92844.

It can be written as a sum of positive squares in 4 ways, for example, as 447561 + 729 = 669^2 + 27^2 .

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 448290.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1384 + ... + 1676.

2448290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 448290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (619164).

448290 is an abundant number, since it is smaller than the sum of its proper divisors (790038).

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

448290 is a wasteful number, since it uses less digits than its factorization.

448290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 323 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 448290 is about 669.5446213659. The cubic root of 448290 is about 76.5337541676.

The spelling of 448290 in words is "four hundred forty-eight thousand, two hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 153 170 255 293 306 510 586 765 879 1465 1530 1758 2637 2930 4395 4981 5274 8790 9962 13185 14943 24905 26370 29886 44829 49810 74715 89658 149430 224145 448290