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455114440 = 235113892659
BaseRepresentation
bin11011001000000…
…111111011001000
31011201101012122101
4123020013323020
51413002130230
6113054403144
714164260154
oct3310077310
91151335571
10455114440
1121399a240
121085004b4
137339a8b1
1444630064
1529e4daca
hex1b207ec8

455114440 has 64 divisors (see below), whose sum is σ = 1120392000. Its totient is φ = 165008640.

The previous prime is 455114437. The next prime is 455114449. The reversal of 455114440 is 44411554.

It is a junction number, because it is equal to n+sod(n) for n = 455114399 and 455114408.

It is not an unprimeable number, because it can be changed into a prime (455114449) 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, 169831 + ... + 172489.

It is an arithmetic number, because the mean of its divisors is an integer number (17506125).

Almost surely, 2455114440 is an apocalyptic number.

455114440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 455114440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560196000).

455114440 is an abundant number, since it is smaller than the sum of its proper divisors (665277560).

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

455114440 is a wasteful number, since it uses less digits than its factorization.

455114440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3070 (or 3066 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 28.

The square root of 455114440 is about 21333.4113540240. The cubic root of 455114440 is about 769.2016462513.

Adding to 455114440 its reverse (44411554), we get a palindrome (499525994).

It can be divided in two parts, 455114 and 440, that added together give a palindrome (455554).

The spelling of 455114440 in words is "four hundred fifty-five million, one hundred fourteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 389 440 778 1556 1945 2659 3112 3890 4279 5318 7780 8558 10636 13295 15560 17116 21272 21395 26590 29249 34232 42790 53180 58498 85580 106360 116996 146245 171160 233992 292490 584980 1034351 1169960 2068702 4137404 5171755 8274808 10343510 11377861 20687020 22755722 41374040 45511444 56889305 91022888 113778610 227557220 455114440