Search a number
-
+
29888958 = 23111721567
BaseRepresentation
bin111001000000…
…1000110111110
32002020111221110
41302001012332
530122421313
62544342450
7512023551
oct162010676
962214843
1029888958
1115965020
12a014a26
136266598
143d80698
152955ec3
hex1c811be

29888958 has 48 divisors (see below), whose sum is σ = 69318144. Its totient is φ = 8519040.

The previous prime is 29888917. The next prime is 29888981. The reversal of 29888958 is 85988892.

It is a junction number, because it is equal to n+sod(n) for n = 29888898 and 29888907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18291 + ... + 19857.

It is an arithmetic number, because the mean of its divisors is an integer number (1444128).

Almost surely, 229888958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29888958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34659072).

29888958 is an abundant number, since it is smaller than the sum of its proper divisors (39429186).

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

29888958 is a wasteful number, since it uses less digits than its factorization.

29888958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1617 (or 1600 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 57.

The square root of 29888958 is about 5467.0794762835. The cubic root of 29888958 is about 310.3394062714.

The spelling of 29888958 in words is "twenty-nine million, eight hundred eighty-eight thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 11 17 22 33 34 51 66 102 187 289 374 561 578 867 1122 1567 1734 3134 3179 4701 6358 9402 9537 17237 19074 26639 34474 51711 53278 79917 103422 159834 293029 452863 586058 879087 905726 1358589 1758174 2717178 4981493 9962986 14944479 29888958