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29439480 = 23357101347
BaseRepresentation
bin111000001001…
…1010111111000
32001101200101010
41300103113320
530014030410
62530553520
7505142250
oct160232770
961350333
1029439480
1115688354
129a388a0
136139b15
143ca4960
1528b7c20
hex1c135f8

29439480 has 128 divisors (see below), whose sum is σ = 102228480. Its totient is φ = 6643200.

The previous prime is 29439419. The next prime is 29439481. The reversal of 29439480 is 8493492.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29439481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84667 + ... + 85013.

It is an arithmetic number, because the mean of its divisors is an integer number (798660).

Almost surely, 229439480 is an apocalyptic number.

29439480 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 29439480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51114240).

29439480 is an abundant number, since it is smaller than the sum of its proper divisors (72789000).

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

29439480 is a wasteful number, since it uses less digits than its factorization.

29439480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 465 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 29439480 is about 5425.8160676529. The cubic root of 29439480 is about 308.7758871791.

The spelling of 29439480 in words is "twenty-nine million, four hundred thirty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 101 105 120 140 168 202 210 280 303 347 404 420 505 606 694 707 808 840 1010 1041 1212 1388 1414 1515 1735 2020 2082 2121 2424 2429 2776 2828 3030 3470 3535 4040 4164 4242 4858 5205 5656 6060 6940 7070 7287 8328 8484 9716 10410 10605 12120 12145 13880 14140 14574 16968 19432 20820 21210 24290 28280 29148 35047 36435 41640 42420 48580 58296 70094 72870 84840 97160 105141 140188 145740 175235 210282 245329 280376 291480 350470 420564 490658 525705 700940 735987 841128 981316 1051410 1226645 1401880 1471974 1962632 2102820 2453290 2943948 3679935 4205640 4906580 5887896 7359870 9813160 14719740 29439480