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890448 = 243131427
BaseRepresentation
bin11011001011001010000
31200020110120
43121121100
5211443243
631030240
710366026
oct3313120
91606416
10890448
11559009
1236b380
132523c0
14192716
15128c83
hexd9650

890448 has 40 divisors (see below), whose sum is σ = 2479008. Its totient is φ = 273792.

The previous prime is 890441. The next prime is 890459. The reversal of 890448 is 844098.

It is a nialpdrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (890441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 90 + ... + 1337.

2890448 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 890448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239504).

890448 is an abundant number, since it is smaller than the sum of its proper divisors (1588560).

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

890448 is a wasteful number, since it uses less digits than its factorization.

890448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1451 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 890448 is about 943.6355228583. The cubic root of 890448 is about 96.2061542016.

The spelling of 890448 in words is "eight hundred ninety thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1427 2854 4281 5708 8562 11416 17124 18551 22832 34248 37102 55653 68496 74204 111306 148408 222612 296816 445224 890448