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29529248 = 257241547
BaseRepresentation
bin111000010100…
…1010010100000
32001120020111212
41300221102200
530024413443
62532525252
7505665050
oct160512240
961506455
1029529248
1115739841
129a80828
13616b938
143cc9560
1528d4618
hex1c294a0

29529248 has 48 divisors (see below), whose sum is σ = 66838464. Its totient is φ = 12579840.

The previous prime is 29529233. The next prime is 29529251. The reversal of 29529248 is 84292592.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 53711 + ... + 54257.

It is an arithmetic number, because the mean of its divisors is an integer number (1392468).

Almost surely, 229529248 is an apocalyptic number.

29529248 is a gapful number since it is divisible by the number (28) 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 29529248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33419232).

29529248 is an abundant number, since it is smaller than the sum of its proper divisors (37309216).

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

29529248 is a wasteful number, since it uses less digits than its factorization.

29529248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 797 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The square root of 29529248 is about 5434.0820751991. The cubic root of 29529248 is about 309.0894125124.

The spelling of 29529248 in words is "twenty-nine million, five hundred twenty-nine thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 241 482 547 964 1094 1687 1928 2188 3374 3829 3856 4376 6748 7658 7712 8752 13496 15316 17504 26992 30632 53984 61264 122528 131827 263654 527308 922789 1054616 1845578 2109232 3691156 4218464 7382312 14764624 29529248