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493685248 = 2972353113
BaseRepresentation
bin11101011011010…
…000101000000000
31021101221210211211
4131123100220000
52002340411443
6120553215504
715143153410
oct3533205000
91241853754
10493685248
11233744041
12119401594
137b383a64
14497d0640
152d51c19d
hex1d6d0a00

493685248 has 160 divisors (see below), whose sum is σ = 1209136896. Its totient is φ = 196804608.

The previous prime is 493685201. The next prime is 493685249. The reversal of 493685248 is 842586394.

It is not an unprimeable number, because it can be changed into a prime (493685249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4368840 + ... + 4368952.

Almost surely, 2493685248 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 493685248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (604568448).

493685248 is an abundant number, since it is smaller than the sum of its proper divisors (715451648).

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

493685248 is a wasteful number, since it uses less digits than its factorization.

493685248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its digits is 1658880, while the sum is 49.

The square root of 493685248 is about 22219.0289616806. The cubic root of 493685248 is about 790.3450119373.

The spelling of 493685248 in words is "four hundred ninety-three million, six hundred eighty-five thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 53 56 64 92 106 112 113 128 161 184 212 224 226 256 322 368 371 424 448 452 512 644 736 742 791 848 896 904 1219 1288 1472 1484 1582 1696 1792 1808 2438 2576 2599 2944 2968 3164 3392 3584 3616 4876 5152 5198 5888 5936 5989 6328 6784 7232 8533 9752 10304 10396 11776 11872 11978 12656 13568 14464 17066 18193 19504 20608 20792 23744 23956 25312 27136 28928 34132 36386 39008 41216 41584 41923 47488 47912 50624 57856 68264 72772 78016 82432 83168 83846 94976 95824 101248 136528 137747 145544 156032 166336 167692 189952 191648 202496 273056 275494 291088 312064 332672 335384 383296 404992 546112 550988 582176 624128 665344 670768 766592 964229 1092224 1101976 1164352 1330688 1341536 1533184 1928458 2184448 2203952 2328704 2683072 3066368 3856916 4368896 4407904 4657408 5366144 7713832 8815808 9314816 10732288 15427664 17631616 21464576 30855328 35263232 61710656 70526464 123421312 246842624 493685248