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29057688 = 233211191931
BaseRepresentation
bin110111011011…
…0001010011000
32000200021122200
41232312022120
524414321223
62514450200
7501662202
oct156661230
960607580
1029057688
1115447520
129893960
1360350ca
143c05772
15283ea43
hex1bb6298

29057688 has 96 divisors (see below), whose sum is σ = 90417600. Its totient is φ = 8337600.

The previous prime is 29057683. The next prime is 29057711. The reversal of 29057688 is 88675092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29057683) 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, 14083 + ... + 16013.

It is an arithmetic number, because the mean of its divisors is an integer number (941850).

Almost surely, 229057688 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 29057688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45208800).

29057688 is an abundant number, since it is smaller than the sum of its proper divisors (61359912).

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

29057688 is a wasteful number, since it uses less digits than its factorization.

29057688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1973 (or 1966 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 29057688 is about 5390.5183424231. The cubic root of 29057688 is about 307.4352669607.

The spelling of 29057688 in words is "twenty-nine million, fifty-seven thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 18 19 22 24 33 36 38 44 57 66 72 76 88 99 114 132 152 171 198 209 228 264 342 396 418 456 627 684 792 836 1254 1368 1672 1881 1931 2508 3762 3862 5016 5793 7524 7724 11586 15048 15448 17379 21241 23172 34758 36689 42482 46344 63723 69516 73378 84964 110067 127446 139032 146756 169928 191169 220134 254892 293512 330201 382338 403579 440268 509784 660402 764676 807158 880536 1210737 1320804 1529352 1614316 2421474 2641608 3228632 3632211 4842948 7264422 9685896 14528844 29057688