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129230848 = 21189709
BaseRepresentation
bin1111011001111…
…10100000000000
3100000011121101201
413230332200000
5231040341343
620453510544
73126305215
oct754764000
9300147351
10129230848
1166a4705a
1237342454
1320a09676
141323db0c
15b52a94d
hex7b3e800

129230848 has 48 divisors (see below), whose sum is σ = 261670500. Its totient is φ = 63799296.

The previous prime is 129230839. The next prime is 129230851. The reversal of 129230848 is 848032921.

It can be written as a sum of positive squares in 2 ways, for example, as 112190464 + 17040384 = 10592^2 + 4128^2 .

It is a super-2 number, since 2×1292308482 = 33401224149598208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 181918 + ... + 182626.

Almost surely, 2129230848 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 129230848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130835250).

129230848 is an abundant number, since it is smaller than the sum of its proper divisors (132439652).

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

129230848 is an frugal number, since it uses more digits than its factorization.

129230848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 129230848 is about 11367.9746657001. The cubic root of 129230848 is about 505.5786563655.

The spelling of 129230848 in words is "one hundred twenty-nine million, two hundred thirty thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 32 64 89 128 178 256 356 512 709 712 1024 1418 1424 2048 2836 2848 5672 5696 11344 11392 22688 22784 45376 45568 63101 90752 91136 126202 181504 182272 252404 363008 504808 726016 1009616 1452032 2019232 4038464 8076928 16153856 32307712 64615424 129230848