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29480000 = 26541167
BaseRepresentation
bin111000001110…
…1010001000000
32001110201221212
41300131101000
530021330000
62531505252
7505401344
oct160352100
961421855
1029480000
1115705840
129a58228
1361523b4
143cb5624
1528c4c35
hex1c1d440

29480000 has 140 divisors (see below), whose sum is σ = 80936592. Its totient is φ = 10560000.

The previous prime is 29479973. The next prime is 29480027. The reversal of 29480000 is 8492.

It is an interprime number because it is at equal distance from previous prime (29479973) and next prime (29480027).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 439967 + ... + 440033.

Almost surely, 229480000 is an apocalyptic number.

29480000 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 29480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40468296).

29480000 is an abundant number, since it is smaller than the sum of its proper divisors (51456592).

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

29480000 is an equidigital number, since it uses as much as digits as its factorization.

29480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 29480000 is about 5429.5487841993. The cubic root of 29480000 is about 308.9174868618.

Adding to 29480000 its reverse (8492), we get a palindrome (29488492).

The spelling of 29480000 in words is "twenty-nine million, four hundred eighty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 67 80 88 100 110 125 134 160 176 200 220 250 268 275 320 335 352 400 440 500 536 550 625 670 704 737 800 880 1000 1072 1100 1250 1340 1375 1474 1600 1675 1760 2000 2144 2200 2500 2680 2750 2948 3350 3520 3685 4000 4288 4400 5000 5360 5500 5896 6700 6875 7370 8000 8375 8800 10000 10720 11000 11792 13400 13750 14740 16750 17600 18425 20000 21440 22000 23584 26800 27500 29480 33500 36850 40000 41875 44000 47168 53600 55000 58960 67000 73700 83750 88000 92125 107200 110000 117920 134000 147400 167500 184250 220000 235840 268000 294800 335000 368500 440000 460625 536000 589600 670000 737000 921250 1179200 1340000 1474000 1842500 2680000 2948000 3685000 5896000 7370000 14740000 29480000