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48975000 = 23355653
BaseRepresentation
bin1011101011010…
…0110010011000
310102011012001220
42322310302120
5100014200000
64505412040
71133165154
oct272646230
9112135056
1048975000
1125710708
121449a020
13a1b99b9
14670c064
1544761a0
hex2eb4c98

48975000 has 96 divisors (see below), whose sum is σ = 153271440. Its totient is φ = 13040000.

The previous prime is 48974993. The next prime is 48975029. The reversal of 48975000 is 57984.

48975000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 74674 + ... + 75326.

Almost surely, 248975000 is an apocalyptic number.

48975000 is a gapful number since it is divisible by the number (40) 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 48975000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76635720).

48975000 is an abundant number, since it is smaller than the sum of its proper divisors (104296440).

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

48975000 is an equidigital number, since it uses as much as digits as its factorization.

48975000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 48975000 is about 6998.2140578865. The cubic root of 48975000 is about 365.8683273251.

The spelling of 48975000 in words is "forty-eight million, nine hundred seventy-five thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 625 653 750 1000 1250 1306 1500 1875 1959 2500 2612 3000 3125 3265 3750 3918 5000 5224 6250 6530 7500 7836 9375 9795 12500 13060 15000 15672 16325 18750 19590 25000 26120 32650 37500 39180 48975 65300 75000 78360 81625 97950 130600 163250 195900 244875 326500 391800 408125 489750 653000 816250 979500 1224375 1632500 1959000 2040625 2448750 3265000 4081250 4897500 6121875 8162500 9795000 12243750 16325000 24487500 48975000