Search a number
-
+
29886084 = 223637277
BaseRepresentation
bin111001000000…
…0011010000100
32002020101000000
41302000122010
530122323314
62544321300
7512012304
oct162003204
962211000
1029886084
1115962948
12a013230
136265197
143d7d604
152955209
hex1c80684

29886084 has 84 divisors (see below), whose sum is σ = 80825164. Its totient is φ = 9657792.

The previous prime is 29886083. The next prime is 29886097. The reversal of 29886084 is 48068892.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 16402500 + 13483584 = 4050^2 + 3672^2 .

It is a nialpdrome in base 9.

It is not an unprimeable number, because it can be changed into a prime (29886083) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 107754 + ... + 108030.

Almost surely, 229886084 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 29886084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40412582).

29886084 is an abundant number, since it is smaller than the sum of its proper divisors (50939080).

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

29886084 is a wasteful number, since it uses less digits than its factorization.

29886084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 29886084 is about 5466.8166239595. The cubic root of 29886084 is about 310.3294589631.

The spelling of 29886084 in words is "twenty-nine million, eight hundred eighty-six thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 277 324 333 444 486 554 666 729 831 972 999 1108 1332 1458 1662 1998 2493 2916 2997 3324 3996 4986 5994 7479 8991 9972 10249 11988 14958 17982 20498 22437 26973 29916 30747 35964 40996 44874 53946 61494 67311 89748 92241 107892 122988 134622 184482 201933 269244 276723 368964 403866 553446 807732 830169 1106892 1660338 2490507 3320676 4981014 7471521 9962028 14943042 29886084