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29492320 = 25511131289
BaseRepresentation
bin111000010000…
…0010001100000
32001111100212011
41300200101200
530022223240
62532042304
7505452304
oct160402140
961440764
1029492320
1115714020
129a63394
136157ba0
143cb9d04
1528c86ea
hex1c20460

29492320 has 96 divisors (see below), whose sum is σ = 81920160. Its totient is φ = 9891840.

The previous prime is 29492291. The next prime is 29492329. The reversal of 29492320 is 2329492.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29492329) 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 15 ways as a sum of consecutive naturals, for example, 22236 + ... + 23524.

It is an arithmetic number, because the mean of its divisors is an integer number (853335).

Almost surely, 229492320 is an apocalyptic number.

29492320 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 29492320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40960080).

29492320 is an abundant number, since it is smaller than the sum of its proper divisors (52427840).

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

29492320 is a wasteful number, since it uses less digits than its factorization.

29492320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1328 (or 1320 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 29492320 is about 5430.6831982726. The cubic root of 29492320 is about 308.9605141503.

The spelling of 29492320 in words is "twenty-nine million, four hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 32 40 44 52 55 65 80 88 104 110 130 143 160 176 208 220 260 286 352 416 440 520 572 715 880 1040 1144 1289 1430 1760 2080 2288 2578 2860 4576 5156 5720 6445 10312 11440 12890 14179 16757 20624 22880 25780 28358 33514 41248 51560 56716 67028 70895 83785 103120 113432 134056 141790 167570 184327 206240 226864 268112 283580 335140 368654 453728 536224 567160 670280 737308 921635 1134320 1340560 1474616 1843270 2268640 2681120 2949232 3686540 5898464 7373080 14746160 29492320