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29022084 = 22337132953
BaseRepresentation
bin110111010110…
…1011110000100
32000121110211000
41232231132010
524412201314
62514013300
7501453330
oct156553604
960543730
1029022084
11154227a3
129877230
136021b40
143bd67c0
152834209
hex1bad784

29022084 has 96 divisors (see below), whose sum is σ = 92637440. Its totient is φ = 7651584.

The previous prime is 29022079. The next prime is 29022157. The reversal of 29022084 is 48022092.

It is a super-3 number, since 3×290220843 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8352 + ... + 11304.

Almost surely, 229022084 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 29022084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46318720).

29022084 is an abundant number, since it is smaller than the sum of its proper divisors (63615356).

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

29022084 is a wasteful number, since it uses less digits than its factorization.

29022084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2986 (or 2978 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 29022084 is about 5387.2148648444. The cubic root of 29022084 is about 307.3096501885.

The spelling of 29022084 in words is "twenty-nine million, twenty-two thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 234 252 273 351 364 378 468 546 702 756 819 1092 1404 1638 2457 2953 3276 4914 5906 8859 9828 11812 17718 20671 26577 35436 38389 41342 53154 62013 76778 79731 82684 106308 115167 124026 153556 159462 186039 230334 248052 268723 318924 345501 372078 460668 537446 558117 691002 744156 806169 1036503 1074892 1116234 1382004 1612338 2073006 2232468 2418507 3224676 4146012 4837014 7255521 9674028 14511042 29022084