Search a number
-
+
29396224 = 281121373
BaseRepresentation
bin111000000100…
…0110100000000
32001022111001001
41300020310000
530011134344
62530021344
7504602164
oct160106400
961274031
1029396224
1115658900
129a17854
136123220
143c92ca4
1528a9ed4
hex1c08d00

29396224 has 108 divisors (see below), whose sum is σ = 70409668. Its totient is φ = 12165120.

The previous prime is 29396207. The next prime is 29396233. The reversal of 29396224 is 42269392.

It can be written as a sum of positive squares in 2 ways, for example, as 10036224 + 19360000 = 3168^2 + 4400^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 402652 + ... + 402724.

Almost surely, 229396224 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 29396224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35204834).

29396224 is an abundant number, since it is smaller than the sum of its proper divisors (41013444).

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

29396224 is a wasteful number, since it uses less digits than its factorization.

29396224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 99 counting only the distinct ones).

The product of its digits is 46656, while the sum is 37.

The square root of 29396224 is about 5421.8284738638. The cubic root of 29396224 is about 308.6245829132.

The spelling of 29396224 in words is "twenty-nine million, three hundred ninety-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 73 88 104 121 128 143 146 176 208 242 256 286 292 352 416 484 572 584 704 803 832 949 968 1144 1168 1408 1573 1606 1664 1898 1936 2288 2336 2816 3146 3212 3328 3796 3872 4576 4672 6292 6424 7592 7744 8833 9152 9344 10439 12584 12848 15184 15488 17666 18304 18688 20878 25168 25696 30368 30976 35332 36608 41756 50336 51392 60736 70664 83512 100672 102784 114829 121472 141328 167024 201344 205568 229658 242944 282656 334048 402688 459316 565312 668096 918632 1130624 1336192 1837264 2261248 2672384 3674528 7349056 14698112 29396224