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463753240 = 23511593831
BaseRepresentation
bin11011101001000…
…101000000011000
31012022122002211221
4123221011000120
51422210100430
6114003501424
714330560156
oct3351050030
91168562757
10463753240
1121885a745
1210b387874
1375103a02
144583c3d6
152aaa857a
hex1ba45018

463753240 has 16 divisors (see below), whose sum is σ = 1043444880. Its totient is φ = 185501280.

The previous prime is 463753229. The next prime is 463753259. The reversal of 463753240 is 42357364.

It is a super-2 number, since 2×4637532402 = 430134135220995200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 463753196 and 463753205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5796876 + ... + 5796955.

It is an arithmetic number, because the mean of its divisors is an integer number (65215305).

Almost surely, 2463753240 is an apocalyptic number.

463753240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

463753240 is an abundant number, since it is smaller than the sum of its proper divisors (579691640).

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

463753240 is a wasteful number, since it uses less digits than its factorization.

463753240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11593842 (or 11593838 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 34.

The square root of 463753240 is about 21534.9306941072. The cubic root of 463753240 is about 774.0380656407.

The spelling of 463753240 in words is "four hundred sixty-three million, seven hundred fifty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 20 40 11593831 23187662 46375324 57969155 92750648 115938310 231876620 463753240