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450213516 = 2232172925367
BaseRepresentation
bin11010110101011…
…011011010001100
31011101011012211200
4122311123122030
51410223313031
6112401345500
714104515564
oct3265333214
91141135750
10450213516
11211152095
12106938290
1372372c3c
1443b15da4
15297d18e6
hex1ad5b68c

450213516 has 72 divisors (see below), whose sum is σ = 1246583520. Its totient is φ = 136367616.

The previous prime is 450213479. The next prime is 450213529. The reversal of 450213516 is 615312054.

It is a self number, because there is not a number n which added to its sum of digits gives 450213516.

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, 5065 + ... + 30431.

It is an arithmetic number, because the mean of its divisors is an integer number (17313660).

Almost surely, 2450213516 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 450213516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (623291760).

450213516 is an abundant number, since it is smaller than the sum of its proper divisors (796370004).

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

450213516 is a wasteful number, since it uses less digits than its factorization.

450213516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25423 (or 25418 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 450213516 is about 21218.2354591516. The cubic root of 450213516 is about 766.4306127295.

The spelling of 450213516 in words is "four hundred fifty million, two hundred thirteen thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 68 87 102 116 153 174 204 261 306 348 493 522 612 986 1044 1479 1972 2958 4437 5916 8874 17748 25367 50734 76101 101468 152202 228303 304404 431239 456606 735643 862478 913212 1293717 1471286 1724956 2206929 2587434 2942572 3881151 4413858 5174868 6620787 7762302 8827716 12505931 13241574 15524604 25011862 26483148 37517793 50023724 75035586 112553379 150071172 225106758 450213516