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29270052 = 2233725531
BaseRepresentation
bin110111110101…
…0000000100100
32001002001222000
41233222000210
524443120202
62523205300
7503535300
oct157520044
961061860
1029270052
1115582029
129976830
1360aa976
143c5cd00
15288291c
hex1bea024

29270052 has 72 divisors (see below), whose sum is σ = 88290720. Its totient is φ = 8361360.

The previous prime is 29270047. The next prime is 29270119. The reversal of 29270052 is 25007292.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 29269998 and 29270025.

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 23 ways as a sum of consecutive naturals, for example, 2527 + ... + 8057.

It is an arithmetic number, because the mean of its divisors is an integer number (1226260).

Almost surely, 229270052 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 29270052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44145360).

29270052 is an abundant number, since it is smaller than the sum of its proper divisors (59020668).

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

29270052 is a wasteful number, since it uses less digits than its factorization.

29270052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5558 (or 5543 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 29270052 is about 5410.1804036464. The cubic root of 29270052 is about 308.1823988484.

The spelling of 29270052 in words is "twenty-nine million, two hundred seventy thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 5531 11062 16593 22124 33186 38717 49779 66372 77434 99558 116151 149337 154868 199116 232302 271019 298674 348453 464604 542038 597348 696906 813057 1045359 1084076 1393812 1626114 2090718 2439171 3252228 4181436 4878342 7317513 9756684 14635026 29270052