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48205120 = 265971553
BaseRepresentation
bin1011011111100…
…0110101000000
310100201001222211
42313320311000
544320030440
64441111504
71123510465
oct267706500
9110631884
1048205120
1125235247
1214188594
139caa452
14658b66c
154372eea
hex2df8d40

48205120 has 56 divisors (see below), whose sum is σ = 116046504. Its totient is φ = 19070976.

The previous prime is 48205103. The next prime is 48205121. The reversal of 48205120 is 2150284.

48205120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 207936 + 47997184 = 456^2 + 6928^2 .

It is a junction number, because it is equal to n+sod(n) for n = 48205091 and 48205100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48205121) 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 7 ways as a sum of consecutive naturals, for example, 30264 + ... + 31816.

It is an arithmetic number, because the mean of its divisors is an integer number (2072259).

Almost surely, 248205120 is an apocalyptic number.

48205120 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 48205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58023252).

48205120 is an abundant number, since it is smaller than the sum of its proper divisors (67841384).

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

48205120 is a wasteful number, since it uses less digits than its factorization.

48205120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1667 (or 1657 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 48205120 is about 6942.9907100615. The cubic root of 48205120 is about 363.9410603760.

The spelling of 48205120 in words is "forty-eight million, two hundred five thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 97 160 194 320 388 485 776 970 1552 1553 1940 3104 3106 3880 6208 6212 7760 7765 12424 15520 15530 24848 31040 31060 49696 62120 99392 124240 150641 248480 301282 496960 602564 753205 1205128 1506410 2410256 3012820 4820512 6025640 9641024 12051280 24102560 48205120