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29906448 = 24311134357
BaseRepresentation
bin111001000010…
…1011000010000
32002021101221020
41302011120100
530124001243
62544555440
7512125545
oct162053020
962241836
1029906448
1115977180
12a022b80
136271530
143d86bcc
15295b283
hex1c85610

29906448 has 80 divisors (see below), whose sum is σ = 90785856. Its totient is φ = 8363520.

The previous prime is 29906441. The next prime is 29906479. The reversal of 29906448 is 84460992.

It is not an unprimeable number, because it can be changed into a prime (29906441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4686 + ... + 9042.

Almost surely, 229906448 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 29906448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45392928).

29906448 is an abundant number, since it is smaller than the sum of its proper divisors (60879408).

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

29906448 is a wasteful number, since it uses less digits than its factorization.

29906448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4392 (or 4386 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 29906448 is about 5468.6788166796. The cubic root of 29906448 is about 310.3999278173.

The spelling of 29906448 in words is "twenty-nine million, nine hundred six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 88 104 132 143 156 176 208 264 286 312 429 528 572 624 858 1144 1716 2288 3432 4357 6864 8714 13071 17428 26142 34856 47927 52284 56641 69712 95854 104568 113282 143781 169923 191708 209136 226564 287562 339846 383416 453128 575124 623051 679692 766832 906256 1150248 1246102 1359384 1869153 2300496 2492204 2718768 3738306 4984408 7476612 9968816 14953224 29906448