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29231712 = 2533231471
BaseRepresentation
bin110111110000…
…0101001100000
32001000010101000
41233200221200
524440403322
62522312000
7503315436
oct157405140
961003330
1029231712
1115556244
129958600
136096393
143c4cd56
1528763ac
hex1be0a60

29231712 has 96 divisors (see below), whose sum is σ = 89026560. Its totient is φ = 9313920.

The previous prime is 29231641. The next prime is 29231737. The reversal of 29231712 is 21713292.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19137 + ... + 20607.

It is an arithmetic number, because the mean of its divisors is an integer number (927360).

Almost surely, 229231712 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 29231712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44513280).

29231712 is an abundant number, since it is smaller than the sum of its proper divisors (59794848).

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

29231712 is a wasteful number, since it uses less digits than its factorization.

29231712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1513 (or 1499 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 29231712 is about 5406.6359226417. The cubic root of 29231712 is about 308.0477802975.

29231712 divided by its sum of digits (27) gives a triangular number (1082656 = T1471).

The spelling of 29231712 in words is "twenty-nine million, two hundred thirty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 32 36 46 48 54 69 72 92 96 108 138 144 184 207 216 276 288 368 414 432 552 621 736 828 864 1104 1242 1471 1656 2208 2484 2942 3312 4413 4968 5884 6624 8826 9936 11768 13239 17652 19872 23536 26478 33833 35304 39717 47072 52956 67666 70608 79434 101499 105912 135332 141216 158868 202998 211824 270664 304497 317736 405996 423648 541328 608994 635472 811992 913491 1082656 1217988 1270944 1623984 1826982 2435976 3247968 3653964 4871952 7307928 9743904 14615856 29231712