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48427008 = 21237563
BaseRepresentation
bin1011100010111…
…1000000000000
310101010100100220
42320233000000
544344131013
64445543040
71125423420
oct270570000
9111110326
1048427008
1125376a23
1214274a80
13a057446
146608480
1543b8b23
hex2e2f000

48427008 has 104 divisors (see below), whose sum is σ = 147831168. Its totient is φ = 13811712.

The previous prime is 48427007. The next prime is 48427009. The reversal of 48427008 is 80072484.

It is an interprime number because it is at equal distance from previous prime (48427007) and next prime (48427009).

It is a self number, because there is not a number n which added to its sum of digits gives 48427008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48427007) 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, 85735 + ... + 86297.

Almost surely, 248427008 is an apocalyptic number.

48427008 is a gapful number since it is divisible by the number (48) 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 48427008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73915584).

48427008 is an abundant number, since it is smaller than the sum of its proper divisors (99404160).

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

48427008 is an equidigital number, since it uses as much as digits as its factorization.

48427008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 33.

The square root of 48427008 is about 6958.9516451833. The cubic root of 48427008 is about 364.4986122584.

The spelling of 48427008 in words is "forty-eight million, four hundred twenty-seven thousand, eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 563 672 768 896 1024 1126 1344 1536 1689 1792 2048 2252 2688 3072 3378 3584 3941 4096 4504 5376 6144 6756 7168 7882 9008 10752 11823 12288 13512 14336 15764 18016 21504 23646 27024 28672 31528 36032 43008 47292 54048 63056 72064 86016 94584 108096 126112 144128 189168 216192 252224 288256 378336 432384 504448 576512 756672 864768 1008896 1153024 1513344 1729536 2017792 2306048 3026688 3459072 4035584 6053376 6918144 8071168 12106752 16142336 24213504 48427008