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29884848 = 2437293067
BaseRepresentation
bin111001000000…
…0000110110000
32002020022022020
41302000012300
530122303343
62544311440
7512005560
oct162000660
962208266
1029884848
1115961a24
12a012580
136264756
143d7cda0
152954b83
hex1c801b0

29884848 has 80 divisors (see below), whose sum is σ = 91303680. Its totient is φ = 8241408.

The previous prime is 29884847. The next prime is 29884849. The reversal of 29884848 is 84848892.

It is an interprime number because it is at equal distance from previous prime (29884847) and next prime (29884849).

It is a self number, because there is not a number n which added to its sum of digits gives 29884848.

It is not an unprimeable number, because it can be changed into a prime (29884847) 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, 8211 + ... + 11277.

It is an arithmetic number, because the mean of its divisors is an integer number (1141296).

Almost surely, 229884848 is an apocalyptic number.

29884848 is a gapful number since it is divisible by the number (28) 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 29884848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45651840).

29884848 is an abundant number, since it is smaller than the sum of its proper divisors (61418832).

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

29884848 is a wasteful number, since it uses less digits than its factorization.

29884848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3114 (or 3108 counting only the distinct ones).

The product of its digits is 1179648, while the sum is 51.

The square root of 29884848 is about 5466.7035771112. The cubic root of 29884848 is about 310.3251808014.

The spelling of 29884848 in words is "twenty-nine million, eight hundred eighty-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 84 87 112 116 168 174 203 232 336 348 406 464 609 696 812 1218 1392 1624 2436 3067 3248 4872 6134 9201 9744 12268 18402 21469 24536 36804 42938 49072 64407 73608 85876 88943 128814 147216 171752 177886 257628 266829 343504 355772 515256 533658 622601 711544 1030512 1067316 1245202 1423088 1867803 2134632 2490404 3735606 4269264 4980808 7471212 9961616 14942424 29884848