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29490944 = 28722351
BaseRepresentation
bin111000001111…
…1111100000000
32001111021222012
41300133330000
530022202234
62532032052
7505445300
oct160377400
961437865
1029490944
1115712a8a
129a62628
136157382
143cb9600
1528c80ce
hex1c1ff00

29490944 has 54 divisors (see below), whose sum is σ = 68506704. Its totient is φ = 12633600.

The previous prime is 29490943. The next prime is 29490947. The reversal of 29490944 is 44909492.

It is a super-2 number, since 2×294909442 = 1739431556022272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29490943) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 11369 + ... + 13719.

Almost surely, 229490944 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 29490944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34253352).

29490944 is an abundant number, since it is smaller than the sum of its proper divisors (39015760).

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

29490944 is an equidigital number, since it uses as much as digits as its factorization.

29490944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The square root of 29490944 is about 5430.5565092355. The cubic root of 29490944 is about 308.9557090996.

The spelling of 29490944 in words is "twenty-nine million, four hundred ninety thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1568 1792 2351 3136 4702 6272 9404 12544 16457 18808 32914 37616 65828 75232 115199 131656 150464 230398 263312 300928 460796 526624 601856 921592 1053248 1843184 2106496 3686368 4212992 7372736 14745472 29490944