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450412164 = 2235463387
BaseRepresentation
bin11010110110001…
…011111010000100
31011101112022100000
4122312023322010
51410301142124
6112405521300
714106303666
oct3266137204
91141468300
10450412164
11211278364
12106a13230
1372412497
1443b68536
15298206c9
hex1ad8be84

450412164 has 36 divisors (see below), whose sum is σ = 1180712624. Its totient is φ = 150137064.

The previous prime is 450412163. The next prime is 450412169. The reversal of 450412164 is 461214054.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×4504121642 = 405742234958325792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (450412163) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 230722 + ... + 232665.

Almost surely, 2450412164 is an apocalyptic number.

It is an amenable number.

450412164 is an abundant number, since it is smaller than the sum of its proper divisors (730300460).

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

450412164 is a wasteful number, since it uses less digits than its factorization.

450412164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 463406 (or 463392 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 450412164 is about 21222.9160107653. The cubic root of 450412164 is about 766.5433203790.

The spelling of 450412164 in words is "four hundred fifty million, four hundred twelve thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 972 463387 926774 1390161 1853548 2780322 4170483 5560644 8340966 12511449 16681932 25022898 37534347 50045796 75068694 112603041 150137388 225206082 450412164