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1145787552 = 253371321959
BaseRepresentation
bin100010001001011…
…0101010010100000
32221212000001001000
41010102311102200
54321310200202
6305410112000
740252014330
oct10422652240
92855001030
101145787552
11538849168
1227b87b600
131534c2900
14ac25b0c0
156a8cc91c
hex444b54a0

1145787552 has 576 divisors, whose sum is σ = 4427136000. Its totient is φ = 281428992.

The previous prime is 1145787551. The next prime is 1145787557. The reversal of 1145787552 is 2557875411.

1145787552 is a `hidden beast` number, since 1 + 1 + 4 + 578 + 75 + 5 + 2 = 666.

It is a super-2 number, since 2×11457875522 = 2625658228636305408, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1145787498 and 1145787507.

It is not an unprimeable number, because it can be changed into a prime (1145787551) 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 95 ways as a sum of consecutive naturals, for example, 19420099 + ... + 19420157.

It is an arithmetic number, because the mean of its divisors is an integer number (7686000).

Almost surely, 21145787552 is an apocalyptic number.

1145787552 is a gapful number since it is divisible by the number (12) 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 1145787552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213568000).

1145787552 is an abundant number, since it is smaller than the sum of its proper divisors (3281348448).

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

1145787552 is a wasteful number, since it uses less digits than its factorization.

1145787552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 103 counting only the distinct ones).

The product of its digits is 392000, while the sum is 45.

The square root of 1145787552 is about 33849.4837774522. The cubic root of 1145787552 is about 1046.4087597112.

The spelling of 1145787552 in words is "one billion, one hundred forty-five million, seven hundred eighty-seven thousand, five hundred fifty-two".