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48000312 = 2332666671
BaseRepresentation
bin1011011100011…
…0110100111000
310100022200001100
42313012310320
544242002222
64432451400
71121665413
oct267066470
9110280040
1048000312
1125105388
12140a9b60
139c38169
146536b7a
1543324ac
hex2dc6d38

48000312 has 24 divisors (see below), whose sum is σ = 130001040. Its totient is φ = 16000080.

The previous prime is 48000269. The next prime is 48000313. The reversal of 48000312 is 21300084.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (18).

48000312 is a modest number, since divided by 312 gives 48 as remainder.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48000313) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 333264 + ... + 333407.

It is an arithmetic number, because the mean of its divisors is an integer number (5416710).

Almost surely, 248000312 is an apocalyptic number.

It is an amenable number.

48000312 is an abundant number, since it is smaller than the sum of its proper divisors (82000728).

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

48000312 is a wasteful number, since it uses less digits than its factorization.

48000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666683 (or 666676 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 48000312 is about 6928.2257468994. The cubic root of 48000312 is about 363.4249059836.

Adding to 48000312 its reverse (21300084), we get a palindrome (69300396).

The spelling of 48000312 in words is "forty-eight million, three hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 666671 1333342 2000013 2666684 4000026 5333368 6000039 8000052 12000078 16000104 24000156 48000312