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461490848 = 25713192439
BaseRepresentation
bin11011100000011…
…100101010100000
31012011101011102122
4123200130222200
51421120201343
6113443203412
714302415240
oct3340345240
91164334378
10461490848
112175549a5
1210a676568
13747c1010
144540db20
152a7ad068
hex1b81caa0

461490848 has 144 divisors (see below), whose sum is σ = 1182867840. Its totient is φ = 172564992.

The previous prime is 461490847. The next prime is 461490851. The reversal of 461490848 is 848094164.

It is a junction number, because it is equal to n+sod(n) for n = 461490799 and 461490808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461490847) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1051013 + ... + 1051451.

It is an arithmetic number, because the mean of its divisors is an integer number (8214360).

Almost surely, 2461490848 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 461490848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (591433920).

461490848 is an abundant number, since it is smaller than the sum of its proper divisors (721376992).

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

461490848 is a wasteful number, since it uses less digits than its factorization.

461490848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 507 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 44.

The square root of 461490848 is about 21482.3380478010. The cubic root of 461490848 is about 772.7773140238. Note that the first 3 decimals are identical.

The spelling of 461490848 in words is "four hundred sixty-one million, four hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 76 91 104 112 133 152 182 208 224 247 266 304 361 364 416 439 494 532 608 722 728 878 988 1064 1444 1456 1729 1756 1976 2128 2527 2888 2912 3073 3458 3512 3952 4256 4693 5054 5707 5776 6146 6916 7024 7904 8341 9386 10108 11414 11552 12292 13832 14048 16682 18772 20216 22828 24584 27664 32851 33364 37544 39949 40432 45656 49168 55328 58387 65702 66728 75088 79898 80864 91312 98336 108433 116774 131404 133456 150176 158479 159796 182624 216866 233548 262808 266912 316958 319592 433732 467096 525616 633916 639184 759031 867464 934192 1051232 1109353 1267832 1278368 1518062 1734928 1868384 2060227 2218706 2535664 3036124 3469856 4120454 4437412 5071328 6072248 8240908 8874824 12144496 14421589 16481816 17749648 24288992 28843178 32963632 35499296 57686356 65927264 115372712 230745424 461490848