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463030464 = 26313473947
BaseRepresentation
bin11011100110010…
…100100011000000
31012021021101101110
4123212110203000
51422013433324
6113540203320
714321460021
oct3346244300
91167241343
10463030464
11218406706
1210b099540
1374c0ca30
14456d0c48
152a9b4329
hex1b9948c0

463030464 has 112 divisors (see below), whose sum is σ = 1347752448. Its totient is φ = 139404288.

The previous prime is 463030441. The next prime is 463030471. The reversal of 463030464 is 464030364.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115339 + ... + 119285.

It is an arithmetic number, because the mean of its divisors is an integer number (12033504).

Almost surely, 2463030464 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 463030464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673876224).

463030464 is an abundant number, since it is smaller than the sum of its proper divisors (884721984).

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

463030464 is a wasteful number, since it uses less digits than its factorization.

463030464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4022 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

The square root of 463030464 is about 21518.1426707790. The cubic root of 463030464 is about 773.6357345555.

The spelling of 463030464 in words is "four hundred sixty-three million, thirty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 47 48 52 64 78 94 96 104 141 156 188 192 208 282 312 376 416 564 611 624 752 832 1128 1222 1248 1504 1833 2256 2444 2496 3008 3666 3947 4512 4888 7332 7894 9024 9776 11841 14664 15788 19552 23682 29328 31576 39104 47364 51311 58656 63152 94728 102622 117312 126304 153933 185509 189456 205244 252608 307866 371018 378912 410488 556527 615732 742036 757824 820976 1113054 1231464 1484072 1641952 2226108 2411617 2462928 2968144 3283904 4452216 4823234 4925856 5936288 7234851 8904432 9646468 9851712 11872576 14469702 17808864 19292936 28939404 35617728 38585872 57878808 77171744 115757616 154343488 231515232 463030464