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48216500 = 2253731321
BaseRepresentation
bin1011011111101…
…1100110110100
310100201122121022
42313323212310
544320412000
64441240312
71123555613
oct267734664
9110648538
1048216500
1125242852
1214193098
139cb2697
14659187a
154376585
hex2dfb9b4

48216500 has 48 divisors (see below), whose sum is σ = 106828176. Its totient is φ = 19008000.

The previous prime is 48216481. The next prime is 48216503. The reversal of 48216500 is 561284.

It can be written as a sum of positive squares in 8 ways, for example, as 4682896 + 43533604 = 2164^2 + 6598^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 48216500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48216503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35840 + ... + 37160.

It is an arithmetic number, because the mean of its divisors is an integer number (2225587).

Almost surely, 248216500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48216500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53414088).

48216500 is an abundant number, since it is smaller than the sum of its proper divisors (58611676).

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

48216500 is a wasteful number, since it uses less digits than its factorization.

48216500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1413 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 48216500 is about 6943.8101932585. The cubic root of 48216500 is about 363.9696971916.

Adding to 48216500 its reverse (561284), we get a palindrome (48777784).

The spelling of 48216500 in words is "forty-eight million, two hundred sixteen thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 125 146 250 292 365 500 730 1321 1460 1825 2642 3650 5284 6605 7300 9125 13210 18250 26420 33025 36500 66050 96433 132100 165125 192866 330250 385732 482165 660500 964330 1928660 2410825 4821650 9643300 12054125 24108250 48216500