Search a number
-
+
29193072 = 2432331853
BaseRepresentation
bin110111101011…
…1001101110000
32000221011100220
41233113031300
524433134242
62521413040
7503064666
oct157271560
960834326
1029193072
111552a207
12993a180
13608190c
143c3cc36
152869bec
hex1bd7370

29193072 has 80 divisors (see below), whose sum is σ = 81328128. Its totient is φ = 8997120.

The previous prime is 29193067. The next prime is 29193077. The reversal of 29193072 is 27039192.

It is an interprime number because it is at equal distance from previous prime (29193067) and next prime (29193077).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29193077) 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, 33798 + ... + 34650.

Almost surely, 229193072 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 29193072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40664064).

29193072 is an abundant number, since it is smaller than the sum of its proper divisors (52135056).

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

29193072 is a wasteful number, since it uses less digits than its factorization.

29193072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 918 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 29193072 is about 5403.0613544545. The cubic root of 29193072 is about 307.9119892459.

The spelling of 29193072 in words is "twenty-nine million, one hundred ninety-three thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 46 48 62 69 92 93 124 138 184 186 248 276 368 372 496 552 713 744 853 1104 1426 1488 1706 2139 2559 2852 3412 4278 5118 5704 6824 8556 10236 11408 13648 17112 19619 20472 26443 34224 39238 40944 52886 58857 78476 79329 105772 117714 156952 158658 211544 235428 313904 317316 423088 470856 608189 634632 941712 1216378 1269264 1824567 2432756 3649134 4865512 7298268 9731024 14596536 29193072