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1463254056 = 23321117191569
BaseRepresentation
bin101011100110111…
…0111110000101000
310202222101000012200
41113031313300220
510444043112211
6401110340200
751155311545
oct12715676050
93688330180
101463254056
11690a72480
1234a05a660
131a41c7904
14dc499bcc
15886dbb56
hex57377c28

1463254056 has 192 divisors, whose sum is σ = 4609612800. Its totient is φ = 414412800.

The previous prime is 1463254027. The next prime is 1463254057. The reversal of 1463254056 is 6504523641.

1463254056 is a `hidden beast` number, since 1 + 4 + 63 + 2 + 540 + 56 = 666.

It is a super-2 number, since 2×14632540562 = 4282224864800902272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1463254056.

It is not an unprimeable number, because it can be changed into a prime (1463254057) 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 47 ways as a sum of consecutive naturals, for example, 2571340 + ... + 2571908.

It is an arithmetic number, because the mean of its divisors is an integer number (24008400).

Almost surely, 21463254056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1463254056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2304806400).

1463254056 is an abundant number, since it is smaller than the sum of its proper divisors (3146358744).

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

1463254056 is a wasteful number, since it uses less digits than its factorization.

1463254056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 800 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 1463254056 is about 38252.5039180444. The cubic root of 1463254056 is about 1135.2893893587.

Adding to 1463254056 its reverse (6504523641), we get a palindrome (7967777697).

The spelling of 1463254056 in words is "one billion, four hundred sixty-three million, two hundred fifty-four thousand, fifty-six".