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129026048 = 2112512
BaseRepresentation
bin1111011000011…
…00100000000000
322222210012110112
413230030200000
5231012313143
620445250452
73124463144
oct754144000
9288705415
10129026048
11669171a8
1237263a28
1320967398
14131c9224
15b4d9e18
hex7b0c800

129026048 has 36 divisors (see below), whose sum is σ = 259021035. Its totient is φ = 64256000.

The previous prime is 129026011. The next prime is 129026069. The reversal of 129026048 is 840620921.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 64513024 + 64513024 = 8032^2 + 8032^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=8032.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 513923 + ... + 514173.

Almost surely, 2129026048 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 129026048

129026048 is an abundant number, since it is smaller than the sum of its proper divisors (129994987).

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

129026048 is an frugal number, since it uses more digits than its factorization.

129026048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 129026048 is about 11358.9633329807. The cubic root of 129026048 is about 505.3114413897.

Multiplying 129026048 by its sum of digits (32), we get a square (4128833536 = 642562).

129026048 divided by its sum of digits (32) gives a square (4032064 = 20082).

Adding to 129026048 its reverse (840620921), we get a palindrome (969646969).

The spelling of 129026048 in words is "one hundred twenty-nine million, twenty-six thousand, forty-eight".

Divisors: 1 2 4 8 16 32 64 128 251 256 502 512 1004 1024 2008 2048 4016 8032 16064 32128 63001 64256 126002 128512 252004 257024 504008 514048 1008016 2016032 4032064 8064128 16128256 32256512 64513024 129026048