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1145809152 = 2835113163
BaseRepresentation
bin100010001001011…
…1010100100000000
32221212001010200000
41010102322210000
54321311343102
6305410400000
740252134315
oct10422724400
92855033600
101145809152
11538863414
1227b890000
131534cc6a7
14ac264d0c
156a8d401c
hex444ba900

1145809152 has 216 divisors, whose sum is σ = 3477530784. Its totient is φ = 376233984.

The previous prime is 1145809123. The next prime is 1145809153. The reversal of 1145809152 is 2519085411.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×11458091522 = 2625757225613918208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1145809153) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7029423 + ... + 7029585.

Almost surely, 21145809152 is an apocalyptic number.

1145809152 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 1145809152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1738765392).

1145809152 is an abundant number, since it is smaller than the sum of its proper divisors (2331721632).

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

1145809152 is an equidigital number, since it uses as much as digits as its factorization.

1145809152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 1145809152 is about 33849.8028354672. The cubic root of 1145809152 is about 1046.4153351847.

The spelling of 1145809152 in words is "one billion, one hundred forty-five million, eight hundred nine thousand, one hundred fifty-two".