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763242368 = 2771495717
BaseRepresentation
bin101101011111100…
…010011110000000
31222012011201200212
4231133202132000
53030342223433
6203422533252
724625311260
oct5537423600
91865151625
10763242368
11361915319
12193737228
13c2183105
147351b7a0
1547015d48
hex2d7e2780

763242368 has 64 divisors (see below), whose sum is σ = 1749708000. Its totient is φ = 324851712.

The previous prime is 763242367. The next prime is 763242377. The reversal of 763242368 is 863242367.

763242368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×7632423683 (a number of 28 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (763242367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130646 + ... + 136362.

Almost surely, 2763242368 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 763242368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (874854000).

763242368 is an abundant number, since it is smaller than the sum of its proper divisors (986465632).

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

763242368 is a wasteful number, since it uses less digits than its factorization.

763242368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5887 (or 5875 counting only the distinct ones).

The product of its digits is 290304, while the sum is 41.

The square root of 763242368 is about 27626.8414408886. The cubic root of 763242368 is about 913.8764586504.

Subtracting 763242368 from its reverse (863242367), we obtain a palindrome (99999999).

The spelling of 763242368 in words is "seven hundred sixty-three million, two hundred forty-two thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 149 224 298 448 596 896 1043 1192 2086 2384 4172 4768 5717 8344 9536 11434 16688 19072 22868 33376 40019 45736 66752 80038 91472 133504 160076 182944 320152 365888 640304 731776 851833 1280608 1703666 2561216 3407332 5122432 5962831 6814664 11925662 13629328 23851324 27258656 47702648 54517312 95405296 109034624 190810592 381621184 763242368