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29889405 = 345713811
BaseRepresentation
bin111001000000…
…1001101111101
32002020112120000
41302001031331
530122430110
62544344513
7512025060
oct162011575
962215500
1029889405
1115965397
12a015139
136266850
143d808d7
1529561c0
hex1c8137d

29889405 has 80 divisors (see below), whose sum is σ = 66025344. Its totient is φ = 12597120.

The previous prime is 29889371. The next prime is 29889421. The reversal of 29889405 is 50498892.

It is not a de Polignac number, because 29889405 - 29 = 29888893 is a prime.

It is a super-3 number, since 3×298894053 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

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 79 ways as a sum of consecutive naturals, for example, 36450 + ... + 37260.

Almost surely, 229889405 is an apocalyptic number.

It is an amenable number.

29889405 is an abundant number, since it is smaller than the sum of its proper divisors (36135939).

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

29889405 is a wasteful number, since it uses less digits than its factorization.

29889405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 29889405 is about 5467.1203571899. The cubic root of 29889405 is about 310.3409533424.

The spelling of 29889405 in words is "twenty-nine million, eight hundred eighty-nine thousand, four hundred five".

Divisors: 1 3 5 7 9 13 15 21 27 35 39 45 63 65 81 91 105 117 135 189 195 273 315 351 405 455 567 585 811 819 945 1053 1365 1755 2433 2457 2835 4055 4095 5265 5677 7299 7371 10543 12165 12285 17031 21897 28385 31629 36495 36855 51093 52715 65691 73801 85155 94887 109485 153279 158145 221403 255465 284661 328455 369005 459837 474435 664209 766395 853983 1107015 1423305 1992627 2299185 3321045 4269915 5977881 9963135 29889405