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29392080 = 24352941103
BaseRepresentation
bin111000000011…
…1110011010000
32001022021100120
41300013303100
530011021310
62525550240
7504554124
oct160076320
961267316
1029392080
1115655783
129a15380
136121383
143c91584
1528a8b70
hex1c07cd0

29392080 has 160 divisors (see below), whose sum is σ = 97493760. Its totient is φ = 7311360.

The previous prime is 29392079. The next prime is 29392093. The reversal of 29392080 is 8029392.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285309 + ... + 285411.

It is an arithmetic number, because the mean of its divisors is an integer number (609336).

Almost surely, 229392080 is an apocalyptic number.

29392080 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 29392080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48746880).

29392080 is an abundant number, since it is smaller than the sum of its proper divisors (68101680).

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

29392080 is a wasteful number, since it uses less digits than its factorization.

29392080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 29392080 is about 5421.4463014956. The cubic root of 29392080 is about 308.6100799124.

The spelling of 29392080 in words is "twenty-nine million, three hundred ninety-two thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 29 30 40 41 48 58 60 80 82 87 103 116 120 123 145 164 174 205 206 232 240 246 290 309 328 348 410 412 435 464 492 515 580 615 618 656 696 820 824 870 984 1030 1160 1189 1230 1236 1392 1545 1640 1648 1740 1968 2060 2320 2378 2460 2472 2987 3090 3280 3480 3567 4120 4223 4756 4920 4944 5945 5974 6180 6960 7134 8240 8446 8961 9512 9840 11890 11948 12360 12669 14268 14935 16892 17835 17922 19024 21115 23780 23896 24720 25338 28536 29870 33784 35670 35844 42230 44805 47560 47792 50676 57072 59740 63345 67568 71340 71688 84460 89610 95120 101352 119480 122467 126690 142680 143376 168920 179220 202704 238960 244934 253380 285360 337840 358440 367401 489868 506760 612335 716880 734802 979736 1013520 1224670 1469604 1837005 1959472 2449340 2939208 3674010 4898680 5878416 7348020 9797360 14696040 29392080