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29293488 = 243473229
BaseRepresentation
bin110111110111…
…1101110110000
32001010021010000
41233233232300
524444342423
62523510000
7503663520
oct157575660
961107100
1029293488
11155986a4
129988300
1360b8533
143c67680
152889843
hex1befbb0

29293488 has 100 divisors (see below), whose sum is σ = 96925840. Its totient is φ = 8366976.

The previous prime is 29293487. The next prime is 29293489. The reversal of 29293488 is 88439292.

It is an interprime number because it is at equal distance from previous prime (29293487) and next prime (29293489).

It is a super-2 number, since 2×292934882 = 1716216878412288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (29293483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7458 + ... + 10686.

Almost surely, 229293488 is an apocalyptic number.

29293488 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 29293488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48462920).

29293488 is an abundant number, since it is smaller than the sum of its proper divisors (67632352).

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

29293488 is a wasteful number, since it uses less digits than its factorization.

29293488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3256 (or 3241 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 29293488 is about 5412.3458869514. The cubic root of 29293488 is about 308.2646289255.

The spelling of 29293488 in words is "twenty-nine million, two hundred ninety-three thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 81 84 108 112 126 144 162 168 189 216 252 324 336 378 432 504 567 648 756 1008 1134 1296 1512 2268 3024 3229 4536 6458 9072 9687 12916 19374 22603 25832 29061 38748 45206 51664 58122 67809 77496 87183 90412 116244 135618 154992 174366 180824 203427 232488 261549 271236 348732 361648 406854 464976 523098 542472 610281 697464 813708 1046196 1084944 1220562 1394928 1627416 1830843 2092392 2441124 3254832 3661686 4184784 4882248 7323372 9764496 14646744 29293488