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468090973 = 72194112263
BaseRepresentation
bin11011111001101…
…000000001011101
31012121210111002201
4123321220001131
51424312402343
6114240451501
714412464500
oct3371500135
91177714081
10468090973
11220252749
12110919b91
1375c9220c
144624b137
152b16394d
hex1be6805d

468090973 has 24 divisors (see below), whose sum is σ = 587200320. Its totient is φ = 370802880.

The previous prime is 468090967. The next prime is 468091021. The reversal of 468090973 is 379090864.

It is a de Polignac number, because none of the positive numbers 2k-468090973 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (468090373) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32040 + ... + 44302.

It is an arithmetic number, because the mean of its divisors is an integer number (24466680).

Almost surely, 2468090973 is an apocalyptic number.

It is an amenable number.

468090973 is a deficient number, since it is larger than the sum of its proper divisors (119109347).

468090973 is a wasteful number, since it uses less digits than its factorization.

468090973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12337 (or 12330 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 46.

The square root of 468090973 is about 21635.4101648201. The cubic root of 468090973 is about 776.4439112836.

The spelling of 468090973 in words is "four hundred sixty-eight million, ninety thousand, nine hundred seventy-three".

Divisors: 1 7 19 41 49 133 287 779 931 2009 5453 12263 38171 85841 232997 502783 600887 1630979 3519481 9552877 11416853 24636367 66870139 468090973