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29496672 = 2532236173
BaseRepresentation
bin111000010000…
…1010101100000
32001111120211100
41300201111200
530022343142
62532114400
7505501062
oct160412540
961446740
1029496672
1115717317
129a65a00
136159b6a
143cbb732
1528c9b4c
hex1c21560

29496672 has 144 divisors (see below), whose sum is σ = 90181728. Its totient is φ = 9123840.

The previous prime is 29496641. The next prime is 29496707. The reversal of 29496672 is 27669492.

It is a tau number, because it is divible by the number of its divisors (144).

Its product of digits (326592) is a multiple of the sum of its prime divisors (162).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404028 + ... + 404100.

It is an arithmetic number, because the mean of its divisors is an integer number (626262).

Almost surely, 229496672 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 29496672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45090864).

29496672 is an abundant number, since it is smaller than the sum of its proper divisors (60685056).

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

29496672 is a wasteful number, since it uses less digits than its factorization.

29496672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 162 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 29496672 is about 5431.0838697262. The cubic root of 29496672 is about 308.9757105361.

The spelling of 29496672 in words is "twenty-nine million, four hundred ninety-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 61 69 72 73 92 96 122 138 144 146 183 184 207 219 244 276 288 292 366 368 414 438 488 549 552 584 657 732 736 828 876 976 1098 1104 1168 1314 1403 1464 1656 1679 1752 1952 2196 2208 2336 2628 2806 2928 3312 3358 3504 4209 4392 4453 5037 5256 5612 5856 6624 6716 7008 8418 8784 8906 10074 10512 11224 12627 13359 13432 15111 16836 17568 17812 20148 21024 22448 25254 26718 26864 30222 33672 35624 40077 40296 44896 50508 53436 53728 60444 67344 71248 80154 80592 101016 102419 106872 120888 134688 142496 160308 161184 202032 204838 213744 241776 307257 320616 404064 409676 427488 483552 614514 641232 819352 921771 1229028 1282464 1638704 1843542 2458056 3277408 3687084 4916112 7374168 9832224 14748336 29496672