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472048 = 24163181
BaseRepresentation
bin1110011001111110000
3212222112021
41303033300
5110101143
614041224
74004143
oct1631760
9788467
10472048
112a2725
121a9214
13136b25
14c405a
1594ced
hex733f0

472048 has 20 divisors (see below), whose sum is σ = 925288. Its totient is φ = 233280.

The previous prime is 472027. The next prime is 472051. The reversal of 472048 is 840274.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

472048 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2518 + ... + 2698.

2472048 is an apocalyptic number.

It is an amenable number.

472048 is a deficient number, since it is larger than the sum of its proper divisors (453240).

472048 is a wasteful number, since it uses less digits than its factorization.

472048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 352 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 25.

The square root of 472048 is about 687.0574939552. The cubic root of 472048 is about 77.8625675476.

The spelling of 472048 in words is "four hundred seventy-two thousand, forty-eight".

Divisors: 1 2 4 8 16 163 181 326 362 652 724 1304 1448 2608 2896 29503 59006 118012 236024 472048