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493551540 = 223257337561
BaseRepresentation
bin11101011010101…
…111111110110100
31021101201000102200
4131122233332310
52002322122130
6120550304500
715142055526
oct3532577664
91241630380
10493551540
11233662639
12119358130
137b337c41
1449797a16
152d4e2760
hex1d6affb4

493551540 has 72 divisors (see below), whose sum is σ = 1517655048. Its totient is φ = 129807360.

The previous prime is 493551523. The next prime is 493551571. The reversal of 493551540 is 45155394.

It can be written as a sum of positive squares in 4 ways, for example, as 6290064 + 487261476 = 2508^2 + 22074^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 493551495 and 493551504.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5641 + ... + 31920.

Almost surely, 2493551540 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 493551540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758827524).

493551540 is an abundant number, since it is smaller than the sum of its proper divisors (1024103508).

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

493551540 is a wasteful number, since it uses less digits than its factorization.

493551540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37649 (or 37644 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 493551540 is about 22216.0198955619. The cubic root of 493551540 is about 790.2736540610.

The spelling of 493551540 in words is "four hundred ninety-three million, five hundred fifty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 73 90 146 180 219 292 365 438 657 730 876 1095 1314 1460 2190 2628 3285 4380 6570 13140 37561 75122 112683 150244 187805 225366 338049 375610 450732 563415 676098 751220 1126830 1352196 1690245 2253660 2741953 3380490 5483906 6760980 8225859 10967812 13709765 16451718 24677577 27419530 32903436 41129295 49355154 54839060 82258590 98710308 123387885 164517180 246775770 493551540