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148286112 = 25313118819
BaseRepresentation
bin10001101011010…
…10101010100000
3101100000201022020
420311222222200
5300430123422
622414141440
73450261012
oct1065525240
9340021266
10148286112
1176781607
12417b1880
132494ba80
14159a01b2
15d04195c
hex8d6aaa0

148286112 has 48 divisors (see below), whose sum is σ = 419196960. Its totient is φ = 45626112.

The previous prime is 148286111. The next prime is 148286119. The reversal of 148286112 is 211682841.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (148286111) 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, 58162 + ... + 60657.

It is an arithmetic number, because the mean of its divisors is an integer number (8733270).

Almost surely, 2148286112 is an apocalyptic number.

148286112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

148286112 is an abundant number, since it is smaller than the sum of its proper divisors (270910848).

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

148286112 is a wasteful number, since it uses less digits than its factorization.

148286112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118845 (or 118837 counting only the distinct ones).

The product of its digits is 6144, while the sum is 33.

The square root of 148286112 is about 12177.2785136910. The cubic root of 148286112 is about 529.2978860012.

The spelling of 148286112 in words is "one hundred forty-eight million, two hundred eighty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 118819 237638 356457 475276 712914 950552 1425828 1544647 1901104 2851656 3089294 3802208 4633941 5703312 6178588 9267882 11406624 12357176 18535764 24714352 37071528 49428704 74143056 148286112