Search a number
-
+
29490832 = 247733607
BaseRepresentation
bin111000001111…
…1111010010000
32001111021211001
41300133322100
530022201312
62532031344
7505445050
oct160377220
961437731
1029490832
1115712998
129a62554
1361572c7
143cb9560
1528c8057
hex1c1fe90

29490832 has 40 divisors (see below), whose sum is σ = 66214016. Its totient is φ = 12462336.

The previous prime is 29490829. The next prime is 29490833. The reversal of 29490832 is 23809492.

It is a junction number, because it is equal to n+sod(n) for n = 29490791 and 29490800.

It is not an unprimeable number, because it can be changed into a prime (29490833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6373 + ... + 9979.

Almost surely, 229490832 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 29490832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33107008).

29490832 is an abundant number, since it is smaller than the sum of its proper divisors (36723184).

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

29490832 is a wasteful number, since it uses less digits than its factorization.

29490832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3695 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 29490832 is about 5430.5461972071. The cubic root of 29490832 is about 308.9553179842.

The spelling of 29490832 in words is "twenty-nine million, four hundred ninety thousand, eight hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 292 511 584 1022 1168 2044 3607 4088 7214 8176 14428 25249 28856 50498 57712 100996 201992 263311 403984 526622 1053244 1843177 2106488 3686354 4212976 7372708 14745416 29490832