Search a number
-
+
29131408 = 2419791213
BaseRepresentation
bin110111100100…
…0001010010000
32000211000210001
41233020022100
524424201113
62520215344
7502420135
oct157101220
960730701
1029131408
1115497949
12990a554
13605c827
143c2458c
1528567dd
hex1bc8290

29131408 has 40 divisors (see below), whose sum is σ = 60214400. Its totient is φ = 13613184.

The previous prime is 29131393. The next prime is 29131433. The reversal of 29131408 is 80413192.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23410 + ... + 24622.

It is an arithmetic number, because the mean of its divisors is an integer number (1505360).

Almost surely, 229131408 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 29131408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30107200).

29131408 is an abundant number, since it is smaller than the sum of its proper divisors (31082992).

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

29131408 is a wasteful number, since it uses less digits than its factorization.

29131408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1319 (or 1313 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 29131408 is about 5397.3519433144. The cubic root of 29131408 is about 307.6950374373.

The spelling of 29131408 in words is "twenty-nine million, one hundred thirty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 19 38 76 79 152 158 304 316 632 1213 1264 1501 2426 3002 4852 6004 9704 12008 19408 23047 24016 46094 92188 95827 184376 191654 368752 383308 766616 1533232 1820713 3641426 7282852 14565704 29131408