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29713248 = 2532103171
BaseRepresentation
bin111000101011…
…0001101100000
32001220120220200
41301112031200
530101310443
62540505200
7510362355
oct161261540
961816820
1029713248
1115855004
129b4b200
136204606
143d3662c
15291ddd3
hex1c56360

29713248 has 36 divisors (see below), whose sum is σ = 84497868. Its totient is φ = 9904320.

The previous prime is 29713247. The next prime is 29713261. The reversal of 29713248 is 84231792.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29713241) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 51298 + ... + 51873.

It is an arithmetic number, because the mean of its divisors is an integer number (2347163).

Almost surely, 229713248 is an apocalyptic number.

It is an amenable number.

29713248 is an abundant number, since it is smaller than the sum of its proper divisors (54784620).

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

29713248 is a wasteful number, since it uses less digits than its factorization.

29713248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103187 (or 103176 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 29713248 is about 5450.9859658598. The cubic root of 29713248 is about 309.7300737416.

The spelling of 29713248 in words is "twenty-nine million, seven hundred thirteen thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 103171 206342 309513 412684 619026 825368 928539 1238052 1650736 1857078 2476104 3301472 3714156 4952208 7428312 9904416 14856624 29713248