Search a number
-
+
129260448 = 25371847
BaseRepresentation
bin1111011010001…
…01101110100000
3100000020010000000
413231011232200
5231042313243
620454300000
73126460422
oct755055640
9300203000
10129260448
1166a67319
1237357600
1320a19c95
141324a812
15b5345d3
hex7b45ba0

129260448 has 96 divisors (see below), whose sum is σ = 381870720. Its totient is φ = 43063488.

The previous prime is 129260447. The next prime is 129260479. The reversal of 129260448 is 844062921.

129260448 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 604 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129260447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69061 + ... + 70907.

It is an arithmetic number, because the mean of its divisors is an integer number (3977820).

Almost surely, 2129260448 is an apocalyptic number.

129260448 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 129260448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190935360).

129260448 is an abundant number, since it is smaller than the sum of its proper divisors (252610272).

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

129260448 is an frugal number, since it uses more digits than its factorization.

129260448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1852 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 129260448 is about 11369.2764941310. The cubic root of 129260448 is about 505.6172539244.

The spelling of 129260448 in words is "one hundred twenty-nine million, two hundred sixty thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1847 1944 2187 2592 2916 3694 3888 4374 5541 5832 7388 7776 8748 11082 11664 14776 16623 17496 22164 23328 29552 33246 34992 44328 49869 59104 66492 69984 88656 99738 132984 149607 177312 199476 265968 299214 398952 448821 531936 598428 797904 897642 1196856 1346463 1595808 1795284 2393712 2692926 3590568 4039389 4787424 5385852 7181136 8078778 10771704 14362272 16157556 21543408 32315112 43086816 64630224 129260448