Search a number
-
+
29245230 = 2325761761
BaseRepresentation
bin110111110001…
…1111100101110
32001000210220200
41233203330232
524441321410
62522454330
7503403030
oct157437456
961023820
1029245230
1115565413
1299643a6
13609c591
143c53c50
15287a3c0
hex1be3f2e

29245230 has 96 divisors (see below), whose sum is σ = 88440768. Its totient is φ = 6566400.

The previous prime is 29245211. The next prime is 29245243. The reversal of 29245230 is 3254292.

It is a junction number, because it is equal to n+sod(n) for n = 29245194 and 29245203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38050 + ... + 38810.

It is an arithmetic number, because the mean of its divisors is an integer number (921258).

Almost surely, 229245230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29245230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44220384).

29245230 is an abundant number, since it is smaller than the sum of its proper divisors (59195538).

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

29245230 is a wasteful number, since it uses less digits than its factorization.

29245230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 839 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 29245230 is about 5407.8859085598. The cubic root of 29245230 is about 308.0952578242.

The spelling of 29245230 in words is "twenty-nine million, two hundred forty-five thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 61 63 70 90 105 122 126 183 210 305 315 366 427 549 610 630 761 854 915 1098 1281 1522 1830 2135 2283 2562 2745 3805 3843 4270 4566 5327 5490 6405 6849 7610 7686 10654 11415 12810 13698 15981 19215 22830 26635 31962 34245 38430 46421 47943 53270 68490 79905 92842 95886 139263 159810 232105 239715 278526 324947 417789 464210 479430 649894 696315 835578 974841 1392630 1624735 1949682 2088945 2924523 3249470 4177890 4874205 5849046 9748410 14622615 29245230