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48050000 = 2455312
BaseRepresentation
bin1011011101001…
…0111101010000
310100102012012122
42313102331100
544300100000
64433513412
71122263315
oct267227520
9110365178
1048050000
1125139749
1214112868
139c5496b
14654ad0c
154342085
hex2dd2f50

48050000 has 90 divisors (see below), whose sum is σ = 120238398. Its totient is φ = 18600000.

The previous prime is 48049979. The next prime is 48050003. The reversal of 48050000 is 5084.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 22202944 + 25847056 = 4712^2 + 5084^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48050003) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1549985 + ... + 1550015.

Almost surely, 248050000 is an apocalyptic number.

48050000 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 48050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60119199).

48050000 is an abundant number, since it is smaller than the sum of its proper divisors (72188398).

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

48050000 is an frugal number, since it uses more digits than its factorization.

48050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 48050000 is about 6931.8107302493. The cubic root of 48050000 is about 363.5502637062.

Adding to 48050000 its reverse (5084), we get a palindrome (48055084).

The spelling of 48050000 in words is "forty-eight million, fifty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 125 155 200 248 250 310 400 496 500 620 625 775 961 1000 1240 1250 1550 1922 2000 2480 2500 3100 3125 3844 3875 4805 5000 6200 6250 7688 7750 9610 10000 12400 12500 15376 15500 19220 19375 24025 25000 31000 38440 38750 48050 50000 62000 76880 77500 96100 96875 120125 155000 192200 193750 240250 310000 384400 387500 480500 600625 775000 961000 1201250 1550000 1922000 2402500 3003125 4805000 6006250 9610000 12012500 24025000 48050000