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3145043552 = 2571932389
BaseRepresentation
bin1011101101110101…
…1000111001100000
322010011221202200112
42323131120321200
522420112343202
61240025110452
7140636300120
oct27335307140
98104852615
103145043552
111374327852
12739328428
133b1769421
1421b9a0c80
15136194b52
hexbb758e60

3145043552 has 192 divisors, whose sum is σ = 7881753600. Its totient is φ = 1207692288.

The previous prime is 3145043507. The next prime is 3145043569. The reversal of 3145043552 is 2553405413.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 35337524 + ... + 35337612.

It is an arithmetic number, because the mean of its divisors is an integer number (41050800).

Almost surely, 23145043552 is an apocalyptic number.

3145043552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3145043552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3940876800).

3145043552 is an abundant number, since it is smaller than the sum of its proper divisors (4736710048).

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

3145043552 is an equidigital number, since it uses as much as digits as its factorization.

3145043552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 32.

The square root of 3145043552 is about 56080.6878702464. The cubic root of 3145043552 is about 1465.1279541275.

Adding to 3145043552 its reverse (2553405413), we get a palindrome (5698448965).

The spelling of 3145043552 in words is "three billion, one hundred forty-five million, forty-three thousand, five hundred fifty-two".