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1152000045 = 32572522449
BaseRepresentation
bin100010010101010…
…0010000000101101
32222021200122222100
41010222202000231
54324403000140
6310151205313
740355560500
oct10452420055
92867618870
101152000045
11541301759
12281976839
13154889541
14acdd7137
156b208530
hex44aa202d

1152000045 has 36 divisors (see below), whose sum is σ = 2322812700. Its totient is φ = 526627584.

The previous prime is 1152000007. The next prime is 1152000061. The reversal of 1152000045 is 5400002511.

It can be written as a sum of positive squares in 2 ways, for example, as 193849929 + 958150116 = 13923^2 + 30954^2 .

It is not a de Polignac number, because 1152000045 - 219 = 1151475757 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1151999991 and 1152000027.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 259020 + ... + 263429.

It is an arithmetic number, because the mean of its divisors is an integer number (64522575).

Almost surely, 21152000045 is an apocalyptic number.

1152000045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1152000045 is an abundant number, since it is smaller than the sum of its proper divisors (1170812655).

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

1152000045 is a wasteful number, since it uses less digits than its factorization.

1152000045 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522474 (or 522464 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 1152000045 is about 33941.1261598669. The cubic root of 1152000045 is about 1048.2965713333.

Adding to 1152000045 its reverse (5400002511), we get a palindrome (6552002556).

The spelling of 1152000045 in words is "one billion, one hundred fifty-two million, forty-five", and thus it is an aban number.

Divisors: 1 3 5 7 9 15 21 35 45 49 63 105 147 245 315 441 735 2205 522449 1567347 2612245 3657143 4702041 7836735 10971429 18285715 23510205 25600001 32914287 54857145 76800003 128000005 164571435 230400009 384000015 1152000045