Search a number
-
+
48866100 = 22352198573
BaseRepresentation
bin1011101001101…
…0001100110100
310101221122200120
42322122030310
5100002203400
64503211540
71132232523
oct272321464
9111848616
1048866100
1125646908
1214446bb0
13a17c26a
1466c04ba
154453ca0
hex2e9a334

48866100 has 72 divisors (see below), whose sum is σ = 148844640. Its totient is φ = 12343680.

The previous prime is 48866089. The next prime is 48866113. The reversal of 48866100 is 166884.

48866100 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, 1414 + ... + 9986.

Almost surely, 248866100 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 48866100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74422320).

48866100 is an abundant number, since it is smaller than the sum of its proper divisors (99978540).

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

48866100 is a wasteful number, since it uses less digits than its factorization.

48866100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8609 (or 8602 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 48866100 is about 6990.4291713742. The cubic root of 48866100 is about 365.5969464925.

The spelling of 48866100 in words is "forty-eight million, eight hundred sixty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 8573 17146 25719 34292 42865 51438 85730 102876 128595 162887 171460 214325 257190 325774 428650 488661 514380 642975 651548 814435 857300 977322 1285950 1628870 1954644 2443305 2571900 3257740 4072175 4886610 8144350 9773220 12216525 16288700 24433050 48866100