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142566048 = 25331571051
BaseRepresentation
bin10000111111101…
…10001010100000
3100221021002212000
420133312022200
5242444103143
622051404000
73350535312
oct1037661240
9327232760
10142566048
1173524a89
123b8b3600
13236c8311
1414d117b2
15c7b1bd3
hex87f62a0

142566048 has 96 divisors (see below), whose sum is σ = 418864320. Its totient is φ = 47174400.

The previous prime is 142566043. The next prime is 142566049. The reversal of 142566048 is 840665241.

142566048 is a `hidden beast` number, since 1 + 42 + 5 + 6 + 604 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (142566043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 135123 + ... + 136173.

It is an arithmetic number, because the mean of its divisors is an integer number (4363170).

Almost surely, 2142566048 is an apocalyptic number.

142566048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142566048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209432160).

142566048 is an abundant number, since it is smaller than the sum of its proper divisors (276298272).

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

142566048 is a wasteful number, since it uses less digits than its factorization.

142566048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1213 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 142566048 is about 11940.1025121227. The cubic root of 142566048 is about 522.4026487737.

The spelling of 142566048 in words is "one hundred forty-two million, five hundred sixty-six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 157 216 288 314 432 471 628 864 942 1051 1256 1413 1884 2102 2512 2826 3153 3768 4204 4239 5024 5652 6306 7536 8408 8478 9459 11304 12612 15072 16816 16956 18918 22608 25224 28377 33632 33912 37836 45216 50448 56754 67824 75672 100896 113508 135648 151344 165007 227016 302688 330014 454032 495021 660028 908064 990042 1320056 1485063 1980084 2640112 2970126 3960168 4455189 5280224 5940252 7920336 8910378 11880504 15840672 17820756 23761008 35641512 47522016 71283024 142566048