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455311540 = 225892291117
BaseRepresentation
bin11011001000111…
…000000010110100
31011201202020000101
4123020320002310
51413024432130
6113102523444
714166040615
oct3310700264
91151666011
10455311540
11214014332
12108596584
1373439518
1444681c0c
1529e8c1ca
hex1b2380b4

455311540 has 48 divisors (see below), whose sum is σ = 971989200. Its totient is φ = 179131392.

The previous prime is 455311537. The next prime is 455311541. The reversal of 455311540 is 45113554.

It can be written as a sum of positive squares in 8 ways, for example, as 30869136 + 424442404 = 5556^2 + 20602^2 .

It is a junction number, because it is equal to n+sod(n) for n = 455311499 and 455311508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (455311541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 407062 + ... + 408178.

It is an arithmetic number, because the mean of its divisors is an integer number (20249775).

Almost surely, 2455311540 is an apocalyptic number.

It is an amenable number.

455311540 is an abundant number, since it is smaller than the sum of its proper divisors (516677660).

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

455311540 is a wasteful number, since it uses less digits than its factorization.

455311540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1442 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 455311540 is about 21338.0303683353. The cubic root of 455311540 is about 769.3126716331.

The spelling of 455311540 in words is "four hundred fifty-five million, three hundred eleven thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 89 178 229 356 445 458 890 916 1117 1145 1780 2234 2290 4468 4580 5585 11170 20381 22340 40762 81524 99413 101905 198826 203810 255793 397652 407620 497065 511586 994130 1023172 1278965 1988260 2557930 5115860 22765577 45531154 91062308 113827885 227655770 455311540