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463530972 = 2233111311027
BaseRepresentation
bin11011101000001…
…110101111011100
31012022012210221210
4123220032233130
51422130442342
6113555024420
714325643152
oct3350165734
91168183853
10463530972
11218718753
1210b29b110
13750567a8
14457c13d2
152aa6279c
hex1ba0ebdc

463530972 has 48 divisors (see below), whose sum is σ = 1126444032. Its totient is φ = 148189440.

The previous prime is 463530971. The next prime is 463530997. The reversal of 463530972 is 279035364.

It is a self number, because there is not a number n which added to its sum of digits gives 463530972.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (463530971) 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, 36523 + ... + 47549.

It is an arithmetic number, because the mean of its divisors is an integer number (23467584).

Almost surely, 2463530972 is an apocalyptic number.

It is an amenable number.

463530972 is an abundant number, since it is smaller than the sum of its proper divisors (662913060).

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

463530972 is a wasteful number, since it uses less digits than its factorization.

463530972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11178 (or 11176 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 39.

The square root of 463530972 is about 21529.7694367590. The cubic root of 463530972 is about 773.9143853650.

The spelling of 463530972 in words is "four hundred sixty-three million, five hundred thirty thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 12 31 62 93 113 124 186 226 339 372 452 678 1356 3503 7006 10509 11027 14012 21018 22054 33081 42036 44108 66162 132324 341837 683674 1025511 1246051 1367348 2051022 2492102 3738153 4102044 4984204 7476306 14952612 38627581 77255162 115882743 154510324 231765486 463530972