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450465092 = 227112314289
BaseRepresentation
bin11010110110011…
…000110101000100
31011101121222221022
4122312120311010
51410304340332
6112411010312
714106614210
oct3266306504
91141558838
10450465092
11211304100
12106a39998
13724305bc
1443b7d940
1529831212
hex1ad98d44

450465092 has 72 divisors (see below), whose sum is σ = 1022461440. Its totient is φ = 169804800.

The previous prime is 450465089. The next prime is 450465139. The reversal of 450465092 is 290564054.

It is a happy number.

It is a super-2 number, since 2×4504650922 = 405837598221136928, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102884 + ... + 107172.

Almost surely, 2450465092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 450465092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (511230720).

450465092 is an abundant number, since it is smaller than the sum of its proper divisors (571996348).

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

450465092 is a wasteful number, since it uses less digits than its factorization.

450465092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4353 (or 4340 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 35.

The square root of 450465092 is about 21224.1629281345. The cubic root of 450465092 is about 766.5733447426.

It can be divided in two parts, 4504 and 65092, that added together give a palindrome (69596).

The spelling of 450465092 in words is "four hundred fifty million, four hundred sixty-five thousand, ninety-two".

Divisors: 1 2 4 7 11 14 22 28 31 44 62 77 121 124 154 217 242 308 341 434 484 682 847 868 1364 1694 2387 3388 3751 4289 4774 7502 8578 9548 15004 17156 26257 30023 47179 52514 60046 94358 105028 120092 132959 188716 265918 330253 518969 531836 660506 930713 1037938 1321012 1462549 1861426 2075876 2925098 3632783 3722852 5850196 7265566 10237843 14531132 16088039 20475686 32176078 40951372 64352156 112616273 225232546 450465092