Search a number
-
+
48019050 = 23252176277
BaseRepresentation
bin1011011100101…
…1011001101010
310100100121202100
42313023121222
544243102200
64433114230
71122104142
oct267133152
9110317670
1048019050
1125118472
12140b8976
139c43851
14653d922
154337d00
hex2dcb66a

48019050 has 72 divisors (see below), whose sum is σ = 136621836. Its totient is φ = 12049920.

The previous prime is 48019043. The next prime is 48019051. The reversal of 48019050 is 5091084.

It can be written as a sum of positive squares in 6 ways, for example, as 38452401 + 9566649 = 6201^2 + 3093^2 .

It is not an unprimeable number, because it can be changed into a prime (48019051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4512 + ... + 10788.

Almost surely, 248019050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48019050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68310918).

48019050 is an abundant number, since it is smaller than the sum of its proper divisors (88602786).

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

48019050 is a wasteful number, since it uses less digits than its factorization.

48019050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6312 (or 6304 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 48019050 is about 6929.5779092236. The cubic root of 48019050 is about 363.4721901899.

The spelling of 48019050 in words is "forty-eight million, nineteen thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 17 18 25 30 34 45 50 51 75 85 90 102 150 153 170 225 255 306 425 450 510 765 850 1275 1530 2550 3825 6277 7650 12554 18831 31385 37662 56493 62770 94155 106709 112986 156925 188310 213418 282465 313850 320127 470775 533545 564930 640254 941550 960381 1067090 1412325 1600635 1920762 2667725 2824650 3201270 4801905 5335450 8003175 9603810 16006350 24009525 48019050