Search a number
-
+
479901690 = 23255332241
BaseRepresentation
bin11100100110101…
…011011111111010
31020110000112100200
4130212223133322
51440323323230
6115341543030
714615045202
oct3446533772
91213015320
10479901690
1122698a274
12114874a76
1378568cc8
1447a43402
152c1e8160
hex1c9ab7fa

479901690 has 24 divisors (see below), whose sum is σ = 1247744628. Its totient is φ = 127973760.

The previous prime is 479901683. The next prime is 479901703. The reversal of 479901690 is 96109974.

479901690 is a `hidden beast` number, since 479 + 90 + 1 + 6 + 90 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 417507489 + 62394201 = 20433^2 + 7899^2 .

It is a super-3 number, since 3×4799016903 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2666031 + ... + 2666210.

Almost surely, 2479901690 is an apocalyptic number.

479901690 is an abundant number, since it is smaller than the sum of its proper divisors (767842938).

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

479901690 is a wasteful number, since it uses less digits than its factorization.

479901690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5332254 (or 5332251 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The square root of 479901690 is about 21906.6585767889. The cubic root of 479901690 is about 782.9200703287.

The spelling of 479901690 in words is "four hundred seventy-nine million, nine hundred one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 5332241 10664482 15996723 26661205 31993446 47990169 53322410 79983615 95980338 159967230 239950845 479901690