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29505252 = 22372192139
BaseRepresentation
bin111000010001…
…1011011100100
32001112000121010
41300203123210
530023132002
62532222220
7505535100
oct160433344
961460533
1029505252
1115722807
129a6a970
136160a3a
143cc0900
1528cc46c
hex1c236e4

29505252 has 108 divisors (see below), whose sum is σ = 85130640. Its totient is φ = 7928928.

The previous prime is 29505247. The next prime is 29505253. The reversal of 29505252 is 25250592.

It is not an unprimeable number, because it can be changed into a prime (29505253) 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, 212199 + ... + 212337.

Almost surely, 229505252 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 29505252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42565320).

29505252 is an abundant number, since it is smaller than the sum of its proper divisors (55625388).

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

29505252 is a wasteful number, since it uses less digits than its factorization.

29505252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The square root of 29505252 is about 5431.8737098721. The cubic root of 29505252 is about 309.0056659448.

The spelling of 29505252 in words is "twenty-nine million, five hundred five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 139 147 196 228 266 278 294 361 399 417 532 556 588 722 798 834 931 973 1083 1444 1596 1668 1862 1946 2166 2527 2641 2793 2919 3724 3892 4332 5054 5282 5586 5838 6811 7581 7923 10108 10564 11172 11676 13622 15162 15846 17689 18487 20433 27244 30324 31692 35378 36974 40866 50179 53067 55461 70756 73948 81732 100358 106134 110922 129409 150537 200716 212268 221844 258818 301074 351253 388227 517636 602148 702506 776454 1053759 1405012 1552908 2107518 2458771 4215036 4917542 7376313 9835084 14752626 29505252