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48920000 = 26541223
BaseRepresentation
bin1011101010011…
…1010111000000
310102001101121212
42322213113000
5100010420000
64504305252
71132545623
oct272472700
9112041555
1048920000
1125683358
1214472228
13a19a95c
1466d5dba
154464c35
hex2ea75c0

48920000 has 70 divisors (see below), whose sum is σ = 121404888. Its totient is φ = 19552000.

The previous prime is 48919973. The next prime is 48920009. The reversal of 48920000 is 2984.

48920000 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 not an unprimeable number, because it can be changed into a prime (48920009) 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 9 ways as a sum of consecutive naturals, for example, 39389 + ... + 40611.

Almost surely, 248920000 is an apocalyptic number.

48920000 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 48920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60702444).

48920000 is an abundant number, since it is smaller than the sum of its proper divisors (72484888).

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

48920000 is an equidigital number, since it uses as much as digits as its factorization.

48920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1255 (or 1230 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 48920000 is about 6994.2833800183. The cubic root of 48920000 is about 365.7313166362.

Adding to 48920000 its reverse (2984), we get a palindrome (48922984).

The spelling of 48920000 in words is "forty-eight million, nine hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1223 1250 1600 2000 2446 2500 4000 4892 5000 6115 8000 9784 10000 12230 19568 20000 24460 30575 39136 40000 48920 61150 78272 97840 122300 152875 195680 244600 305750 391360 489200 611500 764375 978400 1223000 1528750 1956800 2446000 3057500 4892000 6115000 9784000 12230000 24460000 48920000