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475492992 = 27313217431
BaseRepresentation
bin11100010101110…
…111001010000000
31020010201112202120
4130111313022000
51433211233432
6115103244240
714532423642
oct3425671200
91203645676
10475492992
11224448a17
121132a9680
1377684400
1447216892
152bb26c2c
hex1c577280

475492992 has 192 divisors, whose sum is σ = 1451468160. Its totient is φ = 137379840.

The previous prime is 475492991. The next prime is 475493003. The reversal of 475492992 is 299294574.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×4754929922 = 452187170882224128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (475492991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1103017 + ... + 1103447.

It is an arithmetic number, because the mean of its divisors is an integer number (7559730).

Almost surely, 2475492992 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 475492992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (725734080).

475492992 is an abundant number, since it is smaller than the sum of its proper divisors (975975168).

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

475492992 is a wasteful number, since it uses less digits than its factorization.

475492992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 466 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 51.

The square root of 475492992 is about 21805.8017967696. The cubic root of 475492992 is about 780.5152151644.

The spelling of 475492992 in words is "four hundred seventy-five million, four hundred ninety-two thousand, nine hundred ninety-two".