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29855080 = 23519163241
BaseRepresentation
bin111000111100…
…0110101101000
32002011210110201
41301320311220
530120330310
62543521544
7511523023
oct161706550
962153421
1029855080
1115941622
129bb92b4
136254038
143d721ba
15294ae3a
hex1c78d68

29855080 has 64 divisors (see below), whose sum is σ = 71438400. Its totient is φ = 11197440.

The previous prime is 29855069. The next prime is 29855101. The reversal of 29855080 is 8055892.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 123760 + ... + 124000.

It is an arithmetic number, because the mean of its divisors is an integer number (1116225).

Almost surely, 229855080 is an apocalyptic number.

29855080 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 29855080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35719200).

29855080 is an abundant number, since it is smaller than the sum of its proper divisors (41583320).

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

29855080 is a wasteful number, since it uses less digits than its factorization.

29855080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 37.

The square root of 29855080 is about 5463.9802342249. The cubic root of 29855080 is about 310.2221092951. Note that the first 3 decimals are identical.

The spelling of 29855080 in words is "twenty-nine million, eight hundred fifty-five thousand, eighty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 163 190 241 326 380 482 652 760 815 964 1205 1304 1630 1928 2410 3097 3260 4579 4820 6194 6520 9158 9640 12388 15485 18316 22895 24776 30970 36632 39283 45790 61940 78566 91580 123880 157132 183160 196415 314264 392830 746377 785660 1492754 1571320 2985508 3731885 5971016 7463770 14927540 29855080