Search a number
-
+
29931616 = 25111331211
BaseRepresentation
bin111001000101…
…1100001100000
32002022200110101
41302023201200
530130302431
62545312144
7512262121
oct162134140
962280411
1029931616
1115994080
12a035654
13627cb20
143d92048
152963961
hex1c8b860

29931616 has 96 divisors (see below), whose sum is σ = 71801856. Its totient is φ = 12096000.

The previous prime is 29931613. The next prime is 29931617. The reversal of 29931616 is 61613992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29931613) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141751 + ... + 141961.

It is an arithmetic number, because the mean of its divisors is an integer number (747936).

Almost surely, 229931616 is an apocalyptic number.

29931616 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29931616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35900928).

29931616 is an abundant number, since it is smaller than the sum of its proper divisors (41870240).

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

29931616 is a wasteful number, since it uses less digits than its factorization.

29931616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 268 counting only the distinct ones).

The product of its digits is 17496, while the sum is 37.

The square root of 29931616 is about 5470.9794369930. The cubic root of 29931616 is about 310.4869765473.

The spelling of 29931616 in words is "twenty-nine million, nine hundred thirty-one thousand, six hundred sixteen".

Divisors: 1 2 4 8 11 13 16 22 26 31 32 44 52 62 88 104 124 143 176 208 211 248 286 341 352 403 416 422 496 572 682 806 844 992 1144 1364 1612 1688 2288 2321 2728 2743 3224 3376 4433 4576 4642 5456 5486 6448 6541 6752 8866 9284 10912 10972 12896 13082 17732 18568 21944 26164 30173 35464 37136 43888 52328 60346 70928 71951 74272 85033 87776 104656 120692 141856 143902 170066 209312 241384 287804 340132 482768 575608 680264 935363 965536 1151216 1360528 1870726 2302432 2721056 3741452 7482904 14965808 29931616