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450592068 = 2231931371723
BaseRepresentation
bin11010110110110…
…111110101000100
31011101212110010010
4122312313311010
51410322421233
6112413430220
714110653333
oct3266676504
91141773103
10450592068
11211390543
12106a9b370
1372476334
1443bb3d1a
1529858b63
hex1adb7d44

450592068 has 96 divisors (see below), whose sum is σ = 1173975040. Its totient is φ = 133902720.

The previous prime is 450592019. The next prime is 450592069. The reversal of 450592068 is 860295054.

It is not an unprimeable number, because it can be changed into a prime (450592069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260655 + ... + 262377.

Almost surely, 2450592068 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 450592068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (586987520).

450592068 is an abundant number, since it is smaller than the sum of its proper divisors (723382972).

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

450592068 is a wasteful number, since it uses less digits than its factorization.

450592068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1817 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 39.

The square root of 450592068 is about 21227.1540249747. The cubic root of 450592068 is about 766.6453645835.

The spelling of 450592068 in words is "four hundred fifty million, five hundred ninety-two thousand, sixty-eight".

Divisors: 1 2 3 4 6 12 19 31 37 38 57 62 74 76 93 111 114 124 148 186 222 228 372 444 589 703 1147 1178 1406 1723 1767 2109 2294 2356 2812 3441 3446 3534 4218 4588 5169 6882 6892 7068 8436 10338 13764 20676 21793 32737 43586 53413 63751 65379 65474 87172 98211 106826 127502 130758 130948 160239 191253 196422 213652 255004 261516 320478 382506 392844 640956 765012 1014847 1211269 1976281 2029694 2422538 3044541 3633807 3952562 4059388 4845076 5928843 6089082 7267614 7905124 11857686 12178164 14535228 23715372 37549339 75098678 112648017 150197356 225296034 450592068