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29876868 = 22327216937
BaseRepresentation
bin111000111111…
…0001010000100
32002012220100200
41301332022010
530122024433
62544210500
7511643400
oct161761204
962186320
1029876868
1115956a2a
12a009a30
136260c28
143d7a100
152952613
hex1c7e284

29876868 has 54 divisors (see below), whose sum is σ = 87857406. Its totient is φ = 8535744.

The previous prime is 29876857. The next prime is 29876893. The reversal of 29876868 is 86867892.

It can be written as a sum of positive squares in only one way, i.e., 23736384 + 6140484 = 4872^2 + 2478^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6705 + ... + 10232.

It is an arithmetic number, because the mean of its divisors is an integer number (1626989).

Almost surely, 229876868 is an apocalyptic number.

29876868 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

29876868 is an abundant number, since it is smaller than the sum of its proper divisors (57980538).

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

29876868 is a wasteful number, since it uses less digits than its factorization.

29876868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16961 (or 16949 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 54.

The square root of 29876868 is about 5465.9736552603. The cubic root of 29876868 is about 310.2975568207.

The spelling of 29876868 in words is "twenty-nine million, eight hundred seventy-six thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 16937 33874 50811 67748 101622 118559 152433 203244 237118 304866 355677 474236 609732 711354 829913 1067031 1422708 1659826 2134062 2489739 3319652 4268124 4979478 7469217 9958956 14938434 29876868