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29439936 = 2636631
BaseRepresentation
bin111000001001…
…1011111000000
32001101201000000
41300103133000
530014034221
62531000000
7505143501
oct160233700
961351000
1029439936
1115688729
129a39000
13613a0a6
143ca4ba8
1528b7e26
hex1c137c0

29439936 has 98 divisors (see below), whose sum is σ = 87728552. Its totient is φ = 9797760.

The previous prime is 29439913. The next prime is 29439947. The reversal of 29439936 is 63993492.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 29439891 and 29439900.

It is a congruent number.

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 13 ways as a sum of consecutive naturals, for example, 46341 + ... + 46971.

Almost surely, 229439936 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 29439936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43864276).

29439936 is an abundant number, since it is smaller than the sum of its proper divisors (58288616).

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

29439936 is an frugal number, since it uses more digits than its factorization.

29439936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 661 (or 636 counting only the distinct ones).

The product of its digits is 314928, while the sum is 45.

The square root of 29439936 is about 5425.8580888188. The cubic root of 29439936 is about 308.7774814223. Note that the first 3 decimals are identical.

The spelling of 29439936 in words is "twenty-nine million, four hundred thirty-nine thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 631 648 729 864 972 1262 1296 1458 1728 1893 1944 2524 2592 2916 3786 3888 5048 5184 5679 5832 7572 7776 10096 11358 11664 15144 15552 17037 20192 22716 23328 30288 34074 40384 45432 46656 51111 60576 68148 90864 102222 121152 136296 153333 181728 204444 272592 306666 363456 408888 459999 545184 613332 817776 919998 1090368 1226664 1635552 1839996 2453328 3271104 3679992 4906656 7359984 9813312 14719968 29439936