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29806084 = 22711294771
BaseRepresentation
bin111000110110…
…0111000000100
32002002022021001
41301230320010
530112243314
62542503044
7511230130
oct161547004
962068231
1029806084
1115908830
129b94a84
136237949
143d5c3c0
15293b674
hex1c6ce04

29806084 has 96 divisors (see below), whose sum is σ = 69672960. Its totient is φ = 10819200.

The previous prime is 29806069. The next prime is 29806093. The reversal of 29806084 is 48060892.

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, 419769 + ... + 419839.

It is an arithmetic number, because the mean of its divisors is an integer number (725760).

Almost surely, 229806084 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29806084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34836480).

29806084 is an abundant number, since it is smaller than the sum of its proper divisors (39866876).

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

29806084 is a wasteful number, since it uses less digits than its factorization.

29806084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 37.

The square root of 29806084 is about 5459.4948484269. The cubic root of 29806084 is about 310.0523116715.

The spelling of 29806084 in words is "twenty-nine million, eight hundred six thousand, eighty-four".

Divisors: 1 2 4 7 11 14 22 28 29 44 47 58 71 77 94 116 142 154 188 203 284 308 319 329 406 497 517 638 658 781 812 994 1034 1276 1316 1363 1562 1988 2059 2068 2233 2726 3124 3337 3619 4118 4466 5452 5467 6674 7238 8236 8932 9541 10934 13348 14413 14476 14993 19082 21868 22649 23359 28826 29986 36707 38164 45298 46718 57652 59972 73414 90596 93436 96773 104951 146828 158543 193546 209902 256949 317086 387092 419804 513898 634172 677411 1027796 1064503 1354822 2129006 2709644 4258012 7451521 14903042 29806084