Search a number
-
+
29857050 = 23252431543
BaseRepresentation
bin111000111100…
…1010100011010
32002011220011200
41301321110122
530120411200
62543535030
7511531536
oct161712432
962156150
1029857050
1115943053
129bba476
136254bc2
143d72bc6
15294b800
hex1c7951a

29857050 has 72 divisors (see below), whose sum is σ = 82134624. Its totient is φ = 7771680.

The previous prime is 29857043. The next prime is 29857057. The reversal of 29857050 is 5075892.

It is an interprime number because it is at equal distance from previous prime (29857043) and next prime (29857057).

It is a junction number, because it is equal to n+sod(n) for n = 29856996 and 29857014.

It is not an unprimeable number, because it can be changed into a prime (29857057) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 18579 + ... + 20121.

Almost surely, 229857050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29857050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41067312).

29857050 is an abundant number, since it is smaller than the sum of its proper divisors (52277574).

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

29857050 is a wasteful number, since it uses less digits than its factorization.

29857050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1604 (or 1596 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 29857050 is about 5464.1605027671. The cubic root of 29857050 is about 310.2289325238.

The spelling of 29857050 in words is "twenty-nine million, eight hundred fifty-seven thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 43 45 50 75 86 90 129 150 215 225 258 387 430 450 645 774 1075 1290 1543 1935 2150 3086 3225 3870 4629 6450 7715 9258 9675 13887 15430 19350 23145 27774 38575 46290 66349 69435 77150 115725 132698 138870 199047 231450 331745 347175 398094 597141 663490 694350 995235 1194282 1658725 1990470 2985705 3317450 4976175 5971410 9952350 14928525 29857050