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4129000148 = 2271315772251
BaseRepresentation
bin1111011000011011…
…1000101011010100
3101122202102221101102
43312012320223110
531424011001043
61521414445232
7204214631210
oct36606705324
911582387342
104129000148
111829792a19
12972963818
1350a57a070
142b2533940
151927576b8
hexf61b8ad4

4129000148 has 48 divisors (see below), whose sum is σ = 8949999744. Its totient is φ = 1623024000.

The previous prime is 4129000133. The next prime is 4129000177. The reversal of 4129000148 is 8410009214.

It is a self number, because there is not a number n which added to its sum of digits gives 4129000148.

It is a congruent number.

It is an unprimeable number.

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, 21023 + ... + 93273.

It is an arithmetic number, because the mean of its divisors is an integer number (186458328).

Almost surely, 24129000148 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 4129000148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4474999872).

4129000148 is an abundant number, since it is smaller than the sum of its proper divisors (4820999596).

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

4129000148 is a wasteful number, since it uses less digits than its factorization.

4129000148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72432 (or 72430 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 4129000148 is about 64257.2964572896. The cubic root of 4129000148 is about 1604.2854060826.

The spelling of 4129000148 in words is "four billion, one hundred twenty-nine million, one hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 4 7 13 14 26 28 52 91 157 182 314 364 628 1099 2041 2198 4082 4396 8164 14287 28574 57148 72251 144502 289004 505757 939263 1011514 1878526 2023028 3757052 6574841 11343407 13149682 22686814 26299364 45373628 79403849 147464291 158807698 294928582 317615396 589857164 1032250037 2064500074 4129000148