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29848104 = 233211132223
BaseRepresentation
bin111000111011…
…1001000101000
32002011102220100
41301313020220
530120114404
62543425400
7511463466
oct161671050
962142810
1029848104
1115937360
129bb5260
136250b00
143d6d836
152948d39
hex1c77228

29848104 has 144 divisors (see below), whose sum is σ = 95921280. Its totient is φ = 8311680.

The previous prime is 29848103. The next prime is 29848111. The reversal of 29848104 is 40184892.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (29848103) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 133737 + ... + 133959.

It is an arithmetic number, because the mean of its divisors is an integer number (666120).

Almost surely, 229848104 is an apocalyptic number.

29848104 is a gapful number since it is divisible by the number (24) 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 29848104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47960640).

29848104 is an abundant number, since it is smaller than the sum of its proper divisors (66073176).

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

29848104 is a wasteful number, since it uses less digits than its factorization.

29848104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 29848104 is about 5463.3418344453. The cubic root of 29848104 is about 310.1979450321.

The spelling of 29848104 in words is "twenty-nine million, eight hundred forty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 33 36 39 44 52 66 72 78 88 99 104 117 132 143 156 169 198 223 234 264 286 312 338 396 429 446 468 507 572 669 676 792 858 892 936 1014 1144 1287 1338 1352 1521 1716 1784 1859 2007 2028 2453 2574 2676 2899 3042 3432 3718 4014 4056 4906 5148 5352 5577 5798 6084 7359 7436 8028 8697 9812 10296 11154 11596 12168 14718 14872 16056 16731 17394 19624 22077 22308 23192 26091 29436 31889 33462 34788 37687 44154 44616 52182 58872 63778 66924 69576 75374 88308 95667 104364 113061 127556 133848 150748 176616 191334 208728 226122 255112 287001 301496 339183 382668 414557 452244 574002 678366 765336 829114 904488 1148004 1243671 1356732 1658228 2296008 2487342 2713464 3316456 3731013 4974684 7462026 9949368 14924052 29848104