Search a number
-
+
29946708 = 223211471609
BaseRepresentation
bin111001000111…
…1001101010100
32002100110011100
41302033031110
530131243313
62545510100
7512354121
oct162171524
962313140
1029946708
11159a4450
12a042330
13628695c
143d97748
152968173
hex1c8f354

29946708 has 72 divisors (see below), whose sum is σ = 84389760. Its totient is φ = 8876160.

The previous prime is 29946701. The next prime is 29946733. The reversal of 29946708 is 80764992.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29946701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17808 + ... + 19416.

It is an arithmetic number, because the mean of its divisors is an integer number (1172080).

Almost surely, 229946708 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 29946708, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42194880).

29946708 is an abundant number, since it is smaller than the sum of its proper divisors (54443052).

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

29946708 is a wasteful number, since it uses less digits than its factorization.

29946708 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1672 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 29946708 is about 5472.3585408853. The cubic root of 29946708 is about 310.5391519472.

The spelling of 29946708 in words is "twenty-nine million, nine hundred forty-six thousand, seven hundred eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 282 396 423 517 564 846 1034 1551 1609 1692 2068 3102 3218 4653 4827 6204 6436 9306 9654 14481 17699 18612 19308 28962 35398 53097 57924 70796 75623 106194 151246 159291 212388 226869 302492 318582 453738 637164 680607 831853 907476 1361214 1663706 2495559 2722428 3327412 4991118 7486677 9982236 14973354 29946708