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48430368 = 2532724023
BaseRepresentation
bin1011100010111…
…1110100100000
310101010111222100
42320233310200
544344232433
64450010400
71125436260
oct270576440
9111114870
1048430368
11253794a8
1214276a00
13a058b2c
1466097a0
1543b9b13
hex2e2fd20

48430368 has 72 divisors (see below), whose sum is σ = 157405248. Its totient is φ = 13836672.

The previous prime is 48430367. The next prime is 48430379. The reversal of 48430368 is 86303484.

48430368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

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 (48430363) 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 11 ways as a sum of consecutive naturals, for example, 9996 + ... + 14027.

It is an arithmetic number, because the mean of its divisors is an integer number (2186184).

Almost surely, 248430368 is an apocalyptic number.

48430368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48430368 is an abundant number, since it is smaller than the sum of its proper divisors (108974880).

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

48430368 is a wasteful number, since it uses less digits than its factorization.

48430368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24046 (or 24035 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 48430368 is about 6959.1930566697. The cubic root of 48430368 is about 364.5070420380.

The spelling of 48430368 in words is "forty-eight million, four hundred thirty thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 24023 48046 72069 96092 144138 168161 192184 216207 288276 336322 384368 432414 504483 576552 672644 768736 864828 1008966 1153104 1345288 1513449 1729656 2017932 2306208 2690576 3026898 3459312 4035864 5381152 6053796 6918624 8071728 12107592 16143456 24215184 48430368