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29360472 = 2331931267
BaseRepresentation
bin111000000000…
…0000101011000
32001020122222220
41300000011120
530004013342
62525144040
7504363021
oct160000530
961218886
1029360472
1115633a59
1299bb020
13610cb7b
143c83c48
15289e5ec
hex1c00158

29360472 has 96 divisors (see below), whose sum is σ = 81028800. Its totient is φ = 8838720.

The previous prime is 29360467. The next prime is 29360473. The reversal of 29360472 is 27406392.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29360473) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 438183 + ... + 438249.

It is an arithmetic number, because the mean of its divisors is an integer number (844050).

Almost surely, 229360472 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 29360472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40514400).

29360472 is an abundant number, since it is smaller than the sum of its proper divisors (51668328).

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

29360472 is a wasteful number, since it uses less digits than its factorization.

29360472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 29360472 is about 5418.5304280773. The cubic root of 29360472 is about 308.4994146567.

The spelling of 29360472 in words is "twenty-nine million, three hundred sixty thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 19 24 31 38 57 62 67 76 93 114 124 134 152 186 201 228 248 268 372 402 456 536 589 744 804 961 1178 1273 1608 1767 1922 2077 2356 2546 2883 3534 3819 3844 4154 4712 5092 5766 6231 7068 7638 7688 8308 10184 11532 12462 14136 15276 16616 18259 23064 24924 30552 36518 39463 49848 54777 64387 73036 78926 109554 118389 128774 146072 157852 193161 219108 236778 257548 315704 386322 438216 473556 515096 772644 947112 1223353 1545288 2446706 3670059 4893412 7340118 9786824 14680236 29360472