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129472 = 267172
BaseRepresentation
bin11111100111000000
320120121021
4133213000
513120342
62435224
71046320
oct374700
9216537
10129472
1189302
1262b14
1346c15
1435280
1528567
hex1f9c0

129472 has 42 divisors (see below), whose sum is σ = 311912. Its totient is φ = 52224.

The previous prime is 129469. The next prime is 129491. The reversal of 129472 is 274921.

It is an alternating number because its digits alternate between odd and even.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7608 + ... + 7624.

2129472 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 129472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155956).

129472 is an abundant number, since it is smaller than the sum of its proper divisors (182440).

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

129472 is an equidigital number, since it uses as much as digits as its factorization.

129472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53 (or 26 counting only the distinct ones).

The product of its digits is 1008, while the sum is 25.

The square root of 129472 is about 359.8221783048. The cubic root of 129472 is about 50.5892940319.

Multiplying 129472 by its product of digits (1008), we get a square (130507776 = 114242).

The spelling of 129472 in words is "one hundred twenty-nine thousand, four hundred seventy-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 289 448 476 544 578 952 1088 1156 1904 2023 2312 3808 4046 4624 7616 8092 9248 16184 18496 32368 64736 129472