Search a number
-
+
29082416 = 24111491109
BaseRepresentation
bin110111011110…
…0001100110000
32000201112120112
41232330030300
524421114131
62515200452
7502124246
oct156741460
960645515
1029082416
1115464060
1298a6128
13604343c
143c10796
15284702b
hex1bbc330

29082416 has 40 divisors (see below), whose sum is σ = 61938000. Its totient is φ = 13118720.

The previous prime is 29082413. The next prime is 29082451. The reversal of 29082416 is 61428092.

It is not an unprimeable number, because it can be changed into a prime (29082413) 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, 25670 + ... + 26778.

It is an arithmetic number, because the mean of its divisors is an integer number (1548450).

Almost surely, 229082416 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 29082416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30969000).

29082416 is an abundant number, since it is smaller than the sum of its proper divisors (32855584).

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

29082416 is a wasteful number, since it uses less digits than its factorization.

29082416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1277 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 29082416 is about 5392.8115116329. The cubic root of 29082416 is about 307.5224510455.

The spelling of 29082416 in words is "twenty-nine million, eighty-two thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 44 88 149 176 298 596 1109 1192 1639 2218 2384 3278 4436 6556 8872 12199 13112 17744 24398 26224 48796 97592 165241 195184 330482 660964 1321928 1817651 2643856 3635302 7270604 14541208 29082416