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682327464 = 233713674663
BaseRepresentation
bin101000101010110…
…111110110101000
31202112220211022120
4220222313312220
52344133434324
6151412351240
722623454620
oct5052676650
91675824276
10682327464
113201797a5
12170615520
13ab492480
1466897880
153ed81179
hex28ab7da8

682327464 has 128 divisors (see below), whose sum is σ = 2131261440. Its totient is φ = 177230592.

The previous prime is 682327441. The next prime is 682327493. The reversal of 682327464 is 464723286.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 143997 + ... + 148659.

It is an arithmetic number, because the mean of its divisors is an integer number (16650480).

Almost surely, 2682327464 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 682327464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1065630720).

682327464 is an abundant number, since it is smaller than the sum of its proper divisors (1448933976).

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

682327464 is a wasteful number, since it uses less digits than its factorization.

682327464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4759 (or 4755 counting only the distinct ones).

The product of its digits is 387072, while the sum is 42.

The square root of 682327464 is about 26121.3985843025. The cubic root of 682327464 is about 880.3680726109.

The spelling of 682327464 in words is "six hundred eighty-two million, three hundred twenty-seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 67 78 84 91 104 134 156 168 182 201 268 273 312 364 402 469 536 546 728 804 871 938 1092 1407 1608 1742 1876 2184 2613 2814 3484 3752 4663 5226 5628 6097 6968 9326 10452 11256 12194 13989 18291 18652 20904 24388 27978 32641 36582 37304 48776 55956 60619 65282 73164 97923 111912 121238 130564 146328 181857 195846 242476 261128 312421 363714 391692 424333 484952 624842 727428 783384 848666 937263 1249684 1272999 1454856 1697332 1874526 2186947 2499368 2545998 3394664 3749052 4061473 4373894 5091996 6560841 7498104 8122946 8747788 10183992 12184419 13121682 16245892 17495576 24368838 26243364 28430311 32491784 48737676 52486728 56860622 85290933 97475352 113721244 170581866 227442488 341163732 682327464