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900048 = 243171103
BaseRepresentation
bin11011011101111010000
31200201122010
43123233100
5212300143
631142520
710436022
oct3335720
91621563
10900048
11565246
12374a40
13256896
14196012
1512ba33
hexdbbd0

900048 has 40 divisors (see below), whose sum is σ = 2464128. Its totient is φ = 282112.

The previous prime is 900037. The next prime is 900061. The reversal of 900048 is 840009.

It is a junction number, because it is equal to n+sod(n) for n = 899997 and 900033.

It is a congruent number.

It is an unprimeable number.

900048 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 265 + ... + 1367.

2900048 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 900048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232064).

900048 is an abundant number, since it is smaller than the sum of its proper divisors (1564080).

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

900048 is a wasteful number, since it uses less digits than its factorization.

900048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1131 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 900048 is about 948.7085959345. The cubic root of 900048 is about 96.5506548556.

The spelling of 900048 in words is "nine hundred thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1103 2206 3309 4412 6618 8824 13236 17648 18751 26472 37502 52944 56253 75004 112506 150008 225012 300016 450024 900048