Search a number
-
+
49550100 = 22352198693
BaseRepresentation
bin1011110100000…
…1001100010100
310110020101221220
42331001030110
5100141100400
64530010340
71141111635
oct275011424
9113211856
1049550100
1125a737a6
12147169b0
13a35b6b2
14681b88c
15453b7a0
hex2f41314

49550100 has 72 divisors (see below), whose sum is σ = 150927840. Its totient is φ = 12516480.

The previous prime is 49550093. The next prime is 49550153. The reversal of 49550100 is 105594.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1354 + ... + 10046.

It is an arithmetic number, because the mean of its divisors is an integer number (2096220).

Almost surely, 249550100 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 49550100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75463920).

49550100 is an abundant number, since it is smaller than the sum of its proper divisors (101377740).

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

49550100 is a wasteful number, since it uses less digits than its factorization.

49550100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8729 (or 8722 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The square root of 49550100 is about 7039.1831912517. The cubic root of 49550100 is about 367.2948551945.

Adding to 49550100 its reverse (105594), we get a palindrome (49655694).

The spelling of 49550100 in words is "forty-nine million, five hundred fifty 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 8693 17386 26079 34772 43465 52158 86930 104316 130395 165167 173860 217325 260790 330334 434650 495501 521580 651975 660668 825835 869300 991002 1303950 1651670 1982004 2477505 2607900 3303340 4129175 4955010 8258350 9910020 12387525 16516700 24775050 49550100