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1412557056 = 2838292
BaseRepresentation
bin101010000110001…
…1110100100000000
310122102222100000000
41110030132210000
510343103311211
6352100000000
750001352101
oct12414364400
93572870000
101412557056
11665396029
12335090000
131968571a1
14d58603a8
1584025656
hex5431e900

1412557056 has 243 divisors, whose sum is σ = 4380042121. Its totient is φ = 454616064.

The previous prime is 1412556989. The next prime is 1412557057. The reversal of 1412557056 is 6507552141.

The square root of 1412557056 is 37584.

It is a perfect power (a square), and thus also a powerful number.

1412557056 is a `hidden beast` number, since 14 + 1 + 25 + 570 + 56 = 666.

It can be written as a sum of positive squares in only one way, i.e., 740710656 + 671846400 = 27216^2 + 25920^2 .

It is a tau number, because it is divible by the number of its divisors (243).

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1412557056.

It is not an unprimeable number, because it can be changed into a prime (1412557057) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 48708850 + ... + 48708878.

Almost surely, 21412557056 is an apocalyptic number.

1412557056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1412557056 is the 37584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1412557056

1412557056 is an abundant number, since it is smaller than the sum of its proper divisors (2967485065).

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

1412557056 is an frugal number, since it uses more digits than its factorization.

1412557056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The cubic root of 1412557056 is about 1122.0236204241.

Multiplying 1412557056 by its sum of digits (36), we get a square (50852054016 = 2255042).

1412557056 divided by its sum of digits (36) gives a square (39237696 = 62642).

The spelling of 1412557056 in words is "one billion, four hundred twelve million, five hundred fifty-seven thousand, fifty-six".