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241913472 = 2731971467
BaseRepresentation
bin11100110101101…
…00111010000000
3121212012110220020
432122310322000
5443412212342
640001013440
75665142043
oct1632647200
9555173806
10241913472
11114610199
1269024280
133b170a88
14241b2c5a
15163880ec
hexe6b4e80

241913472 has 128 divisors (see below), whose sum is σ = 687398400. Its totient is φ = 75156480.

The previous prime is 241913467. The next prime is 241913501. The reversal of 241913472 is 274319142.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 517783 + ... + 518249.

It is an arithmetic number, because the mean of its divisors is an integer number (5370300).

Almost surely, 2241913472 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 241913472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343699200).

241913472 is an abundant number, since it is smaller than the sum of its proper divisors (445484928).

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

241913472 is a wasteful number, since it uses less digits than its factorization.

241913472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 574 (or 562 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 241913472 is about 15553.5678222072. The cubic root of 241913472 is about 623.0936875749.

The spelling of 241913472 in words is "two hundred forty-one million, nine hundred thirteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 71 76 96 114 128 142 152 192 213 228 284 304 384 426 456 467 568 608 852 912 934 1136 1216 1349 1401 1704 1824 1868 2272 2432 2698 2802 3408 3648 3736 4047 4544 5396 5604 6816 7296 7472 8094 8873 9088 10792 11208 13632 14944 16188 17746 21584 22416 26619 27264 29888 32376 33157 35492 43168 44832 53238 59776 64752 66314 70984 86336 89664 99471 106476 129504 132628 141968 172672 179328 198942 212952 259008 265256 283936 397884 425904 518016 530512 567872 629983 795768 851808 1061024 1135744 1259966 1591536 1703616 1889949 2122048 2519932 3183072 3407232 3779898 4244096 5039864 6366144 7559796 10079728 12732288 15119592 20159456 30239184 40318912 60478368 80637824 120956736 241913472