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29000148 = 22323179587
BaseRepresentation
bin110111010100…
…0000111010100
32000120100201120
41232220013110
524411001043
62513323540
7501332352
oct156500724
960510646
1029000148
1115408271
1298665b0
136014b68
143bcc7d2
15282c983
hex1ba81d4

29000148 has 48 divisors (see below), whose sum is σ = 71124480. Its totient is φ = 9179104.

The previous prime is 29000131. The next prime is 29000149. The reversal of 29000148 is 84100092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29000149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 49111 + ... + 49697.

It is an arithmetic number, because the mean of its divisors is an integer number (1481760).

Almost surely, 229000148 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 29000148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35562240).

29000148 is an abundant number, since it is smaller than the sum of its proper divisors (42124332).

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

29000148 is a wasteful number, since it uses less digits than its factorization.

29000148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796 (or 794 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 29000148 is about 5385.1785485720. The cubic root of 29000148 is about 307.2322052147.

The spelling of 29000148 in words is "twenty-nine million, one hundred forty-eight", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 23 46 69 92 138 179 276 358 537 587 716 1074 1174 1761 2148 2348 3522 4117 7044 8234 12351 13501 16468 24702 27002 40503 49404 54004 81006 105073 162012 210146 315219 420292 630438 1260876 2416679 4833358 7250037 9666716 14500074 29000148