Search a number
-
+
457504146 = 23311270019
BaseRepresentation
bin11011010001001…
…111010110010010
31011212212121201000
4123101033112102
51414110113041
6113221522430
714223502221
oct3321172622
91155777630
10457504146
11215281700
12109273416
1373a26518
1444a92cb8
152a271bb6
hex1b44f592

457504146 has 48 divisors (see below), whose sum is σ = 1117519200. Its totient is φ = 138635640.

The previous prime is 457504111. The next prime is 457504147. The reversal of 457504146 is 641405754.

457504146 is a `hidden beast` number, since 4 + 5 + 7 + 504 + 146 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 457504146.

It is not an unprimeable number, because it can be changed into a prime (457504147) 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, 28476 + ... + 41543.

It is an arithmetic number, because the mean of its divisors is an integer number (23281650).

Almost surely, 2457504146 is an apocalyptic number.

457504146 is an abundant number, since it is smaller than the sum of its proper divisors (660015054).

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

457504146 is a wasteful number, since it uses less digits than its factorization.

457504146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70052 (or 70035 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 457504146 is about 21389.3465538338. The cubic root of 457504146 is about 770.5455997071.

The spelling of 457504146 in words is "four hundred fifty-seven million, five hundred four thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 121 198 242 297 363 594 726 1089 2178 3267 6534 70019 140038 210057 420114 630171 770209 1260342 1540418 1890513 2310627 3781026 4621254 6931881 8472299 13863762 16944598 20795643 25416897 41591286 50833794 76250691 152501382 228752073 457504146