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468913710 = 235435961101
BaseRepresentation
bin11011111100110…
…000111000101110
31012200100021200110
4123330300320232
51430020214320
6114310240450
714422462236
oct3374607056
91180307613
10468913710
112207648a1
12111056126
13761bc845
14463c2cc6
152b2775e0
hex1bf30e2e

468913710 has 128 divisors (see below), whose sum is σ = 1202065920. Its totient is φ = 116928000.

The previous prime is 468913693. The next prime is 468913717. The reversal of 468913710 is 17319864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468913717) 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 63 ways as a sum of consecutive naturals, for example, 4642660 + ... + 4642760.

It is an arithmetic number, because the mean of its divisors is an integer number (9391140).

Almost surely, 2468913710 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 468913710, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601032960).

468913710 is an abundant number, since it is smaller than the sum of its proper divisors (733152210).

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

468913710 is a wasteful number, since it uses less digits than its factorization.

468913710 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274.

The product of its (nonzero) digits is 36288, while the sum is 39.

The square root of 468913710 is about 21654.4154850691. The cubic root of 468913710 is about 776.8985488575.

The spelling of 468913710 in words is "four hundred sixty-eight million, nine hundred thirteen thousand, seven hundred ten".

Divisors: 1 2 3 5 6 10 15 30 43 59 61 86 101 118 122 129 177 183 202 215 258 295 303 305 354 366 430 505 590 606 610 645 885 915 1010 1290 1515 1770 1830 2537 2623 3030 3599 4343 5074 5246 5959 6161 7198 7611 7869 8686 10797 11918 12322 12685 13029 13115 15222 15738 17877 17995 18483 21594 21715 25370 26058 26230 29795 30805 35754 35990 36966 38055 39345 43430 53985 59590 61610 65145 76110 78690 89385 92415 107970 130290 154757 178770 184830 256237 264923 309514 363499 464271 512474 529846 726998 768711 773785 794769 928542 1090497 1281185 1324615 1537422 1547570 1589538 1817495 2180994 2321355 2562370 2649230 3634990 3843555 3973845 4642710 5452485 7687110 7947690 10904970 15630457 31260914 46891371 78152285 93782742 156304570 234456855 468913710