Search a number
-
+
29212480 = 2651143193
BaseRepresentation
bin110111101101…
…1111101000000
32000222010222201
41233123331000
524434244410
62522042544
7503205403
oct157337500
960863881
1029212480
1115542850
129949454
13608a6bb
143c45d3a
15287083a
hex1bdbf40

29212480 has 112 divisors (see below), whose sum is σ = 78053184. Its totient is φ = 10321920.

The previous prime is 29212471. The next prime is 29212529. The reversal of 29212480 is 8421292.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151264 + ... + 151456.

Almost surely, 229212480 is an apocalyptic number.

29212480 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29212480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39026592).

29212480 is an abundant number, since it is smaller than the sum of its proper divisors (48840704).

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

29212480 is a wasteful number, since it uses less digits than its factorization.

29212480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 29212480 is about 5404.8570748911. The cubic root of 29212480 is about 307.9802089943.

It can be divided in two parts, 29212 and 480, that added together give a palindrome (29692).

The spelling of 29212480 in words is "twenty-nine million, two hundred twelve thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 43 44 55 64 80 86 88 110 160 172 176 193 215 220 320 344 352 386 430 440 473 688 704 772 860 880 946 965 1376 1544 1720 1760 1892 1930 2123 2365 2752 3088 3440 3520 3784 3860 4246 4730 6176 6880 7568 7720 8299 8492 9460 10615 12352 13760 15136 15440 16598 16984 18920 21230 30272 30880 33196 33968 37840 41495 42460 61760 66392 67936 75680 82990 84920 91289 132784 135872 151360 165980 169840 182578 265568 331960 339680 365156 456445 531136 663920 679360 730312 912890 1327840 1460624 1825780 2655680 2921248 3651560 5842496 7303120 14606240 29212480