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480690414 = 23226705023
BaseRepresentation
bin11100101001101…
…100000011101110
31020111111121021200
4130221230003232
51441024043124
6115410510330
714624541531
oct3451540356
91214447250
10480690414
11227378906
12114b953a6
1378783cc9
1447baaa18
152c301bc9
hex1ca6c0ee

480690414 has 12 divisors (see below), whose sum is σ = 1041495936. Its totient is φ = 160230132.

The previous prime is 480690403. The next prime is 480690439. The reversal of 480690414 is 414096084.

It is a happy number.

It is a super-3 number, since 3×4806904143 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13352494 + ... + 13352529.

It is an arithmetic number, because the mean of its divisors is an integer number (86791328).

Almost surely, 2480690414 is an apocalyptic number.

480690414 is an abundant number, since it is smaller than the sum of its proper divisors (560805522).

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

480690414 is a wasteful number, since it uses less digits than its factorization.

480690414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26705031 (or 26705028 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 480690414 is about 21924.6531101406. The cubic root of 480690414 is about 783.3487483109.

The spelling of 480690414 in words is "four hundred eighty million, six hundred ninety thousand, four hundred fourteen".

Divisors: 1 2 3 6 9 18 26705023 53410046 80115069 160230138 240345207 480690414