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241688896 = 2631432833
BaseRepresentation
bin11100110011111…
…10000101000000
3121211210001211121
432121332011000
5443333021041
635552122024
75663215231
oct1631760500
9554701747
10241688896
11114477499
1268b36314
133b0c27a7
1424155088
15163417d1
hexe67e140

241688896 has 56 divisors (see below), whose sum is σ = 506764544. Its totient is φ = 114186240.

The previous prime is 241688879. The next prime is 241688933. The reversal of 241688896 is 698886142.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83896 + ... + 86728.

Almost surely, 2241688896 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 241688896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253382272).

241688896 is an abundant number, since it is smaller than the sum of its proper divisors (265075648).

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

241688896 is a wasteful number, since it uses less digits than its factorization.

241688896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2909 counting only the distinct ones).

The product of its digits is 1327104, while the sum is 52.

The square root of 241688896 is about 15546.3467091147. The cubic root of 241688896 is about 622.9008152912.

It can be divided in two parts, 24 and 1688896, that multiplied together give a palindrome (40533504).

The spelling of 241688896 in words is "two hundred forty-one million, six hundred eighty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 43 62 64 86 124 172 248 344 496 688 992 1333 1376 1984 2666 2752 2833 5332 5666 10664 11332 21328 22664 42656 45328 85312 87823 90656 121819 175646 181312 243638 351292 487276 702584 974552 1405168 1949104 2810336 3776389 3898208 5620672 7552778 7796416 15105556 30211112 60422224 120844448 241688896