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129429048 = 23371315881
BaseRepresentation
bin1111011011011…
…10111000111000
3100000112200021110
413231232320320
5231113212143
620502040320
73131062110
oct755567070
9300480243
10129429048
1167071a61
12374190a0
1320a78948
1413292040
15b569533
hex7b6ee38

129429048 has 64 divisors (see below), whose sum is σ = 372683520. Its totient is φ = 36691200.

The previous prime is 129429043. The next prime is 129429077. The reversal of 129429048 is 840924921.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 129428997 and 129429015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129429043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19068 + ... + 24948.

It is an arithmetic number, because the mean of its divisors is an integer number (5823180).

Almost surely, 2129429048 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 129429048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186341760).

129429048 is an abundant number, since it is smaller than the sum of its proper divisors (243254472).

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

129429048 is a wasteful number, since it uses less digits than its factorization.

129429048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6028 (or 6024 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 129429048 is about 11376.6887977126. The cubic root of 129429048 is about 505.8369912411.

The spelling of 129429048 in words is "one hundred twenty-nine million, four hundred twenty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 131 168 262 393 524 786 917 1048 1572 1834 2751 3144 3668 5502 5881 7336 11004 11762 17643 22008 23524 35286 41167 47048 70572 82334 123501 141144 164668 247002 329336 494004 770411 988008 1540822 2311233 3081644 4622466 5392877 6163288 9244932 10785754 16178631 18489864 21571508 32357262 43143016 64714524 129429048