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1145989152 = 2532711311667
BaseRepresentation
bin100010001001110…
…0110100000100000
32221212101021120200
41010103212200200
54321333123102
6305414305200
740253514150
oct10423464040
92855337520
101145989152
11538976680
1227b958200
131535635b9
14ac2b0760
156a91c51c
hex444e6820

1145989152 has 288 divisors, whose sum is σ = 4196634624. Its totient is φ = 287884800.

The previous prime is 1145989147. The next prime is 1145989157. The reversal of 1145989152 is 2519895411.

1145989152 is a `hidden beast` number, since 1 + 1 + 4 + 598 + 9 + 1 + 52 = 666.

It is an interprime number because it is at equal distance from previous prime (1145989147) and next prime (1145989157).

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11459891522 = 2626582273003358208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1145989098 and 1145989107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1145989157) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 686623 + ... + 688289.

It is an arithmetic number, because the mean of its divisors is an integer number (14571648).

Almost surely, 21145989152 is an apocalyptic number.

1145989152 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 1145989152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2098317312).

1145989152 is an abundant number, since it is smaller than the sum of its proper divisors (3050645472).

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

1145989152 is a wasteful number, since it uses less digits than its factorization.

1145989152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1732 (or 1721 counting only the distinct ones).

The product of its digits is 129600, while the sum is 45.

The square root of 1145989152 is about 33852.4615353153. The cubic root of 1145989152 is about 1046.4701275841.

The spelling of 1145989152 in words is "one billion, one hundred forty-five million, nine hundred eighty-nine thousand, one hundred fifty-two".