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54006048 = 253362507
BaseRepresentation
bin1100111000000…
…1000100100000
310202121210101000
43032001010200
5102311143143
65205312000
71224021015
oct316010440
9122553330
1054006048
11285375a8
1216105600
13b25b955
14725b70c
154b1bbd3
hex3381120

54006048 has 48 divisors (see below), whose sum is σ = 157520160. Its totient is φ = 18001728.

The previous prime is 54006041. The next prime is 54006067. The reversal of 54006048 is 84060045.

54006048 is a `hidden beast` number, since 54 + 0 + 0 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (54006041) 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, 30390 + ... + 32117.

It is an arithmetic number, because the mean of its divisors is an integer number (3281670).

Almost surely, 254006048 is an apocalyptic number.

It is an amenable number.

54006048 is an abundant number, since it is smaller than the sum of its proper divisors (103514112).

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

54006048 is a wasteful number, since it uses less digits than its factorization.

54006048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62526 (or 62512 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 54006048 is about 7348.8807311046. The cubic root of 54006048 is about 377.9904255574.

The spelling of 54006048 in words is "fifty-four million, six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 62507 125014 187521 250028 375042 500056 562563 750084 1000112 1125126 1500168 1687689 2000224 2250252 3000336 3375378 4500504 6000672 6750756 9001008 13501512 18002016 27003024 54006048