Search a number
-
+
129648148 = 22723375441
BaseRepresentation
bin1111011101001…
…00011000010100
3100000221210211021
413232210120110
5231142220043
620510450524
73132663640
oct756443024
9300853737
10129648148
1167201633
1237503a44
1320b245a6
141330bc20
15b5ae3ed
hex7ba4614

129648148 has 48 divisors (see below), whose sum is σ = 277933824. Its totient is φ = 51701760.

The previous prime is 129648133. The next prime is 129648161. The reversal of 129648148 is 841846921.

It is a super-3 number, since 3×1296481483 (a number of 25 digits) contains 333 as substring.

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 15 ways as a sum of consecutive naturals, for example, 21108 + ... + 26548.

It is an arithmetic number, because the mean of its divisors is an integer number (5790288).

Almost surely, 2129648148 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 129648148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138966912).

129648148 is an abundant number, since it is smaller than the sum of its proper divisors (148285676).

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

129648148 is a wasteful number, since it uses less digits than its factorization.

129648148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5512 (or 5510 counting only the distinct ones).

The product of its digits is 110592, while the sum is 43.

The square root of 129648148 is about 11386.3140655789. The cubic root of 129648148 is about 506.1222605514.

It can be divided in two parts, 12964 and 8148, that added together give a palindrome (21112).

The spelling of 129648148 in words is "one hundred twenty-nine million, six hundred forty-eight thousand, one hundred forty-eight".

Divisors: 1 2 4 7 14 23 28 37 46 74 92 148 161 259 322 518 644 851 1036 1702 3404 5441 5957 10882 11914 21764 23828 38087 76174 125143 152348 201317 250286 402634 500572 805268 876001 1409219 1752002 2818438 3504004 4630291 5636876 9260582 18521164 32412037 64824074 129648148