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457249780 = 225132135281
BaseRepresentation
bin11011010000010…
…001001111110100
31011212101200210001
4123100101033310
51414023443110
6113212241044
714221362511
oct3320211764
91155350701
10457249780
11215118589
12109170184
1373967800
1444a28308
152a22163a
hex1b4113f4

457249780 has 36 divisors (see below), whose sum is σ = 1039777452. Its totient is φ = 168829440.

The previous prime is 457249777. The next prime is 457249787. The reversal of 457249780 is 87942754.

It can be written as a sum of positive squares in 6 ways, for example, as 36917776 + 420332004 = 6076^2 + 20502^2 .

It is a super-2 number, since 2×4572497802 = 418154722620096800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 457249780.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (457249787) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 64261 + ... + 71020.

It is an arithmetic number, because the mean of its divisors is an integer number (28882707).

Almost surely, 2457249780 is an apocalyptic number.

It is an amenable number.

457249780 is an abundant number, since it is smaller than the sum of its proper divisors (582527672).

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

457249780 is a wasteful number, since it uses less digits than its factorization.

457249780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135316 (or 135301 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The square root of 457249780 is about 21383.3996361664. The cubic root of 457249780 is about 770.4027689885.

The spelling of 457249780 in words is "four hundred fifty-seven million, two hundred forty-nine thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 845 1690 3380 135281 270562 541124 676405 1352810 1758653 2705620 3517306 7034612 8793265 17586530 22862489 35173060 45724978 91449956 114312445 228624890 457249780