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467730053 = 7736011523
BaseRepresentation
bin11011111000001…
…111111010000101
31012121010011000022
4123320033322011
51424214330203
6114225024525
714406432320
oct3370177205
91177104008
10467730053
1122002656a
12110785145
1375b96b5b
14461957b7
152b0e1a38
hex1be0fe85

467730053 has 16 divisors (see below), whose sum is σ = 543129216. Its totient is φ = 394502400.

The previous prime is 467730031. The next prime is 467730071. The reversal of 467730053 is 350037764.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 467730053 - 26 = 467729989 is a prime.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 467729995 and 467730022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (467730253) 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 15 ways as a sum of consecutive naturals, for example, 306350 + ... + 307872.

It is an arithmetic number, because the mean of its divisors is an integer number (33945576).

Almost surely, 2467730053 is an apocalyptic number.

It is an amenable number.

467730053 is a deficient number, since it is larger than the sum of its proper divisors (75399163).

467730053 is a wasteful number, since it uses less digits than its factorization.

467730053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204.

The product of its (nonzero) digits is 52920, while the sum is 35.

The square root of 467730053 is about 21627.0676005787. The cubic root of 467730053 is about 776.2443018002.

The spelling of 467730053 in words is "four hundred sixty-seven million, seven hundred thirty thousand, fifty-three".

Divisors: 1 7 73 511 601 1523 4207 10661 43873 111179 307111 778253 915323 6407261 66818579 467730053