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150048045 = 345727561
BaseRepresentation
bin10001111000110…
…00110100101101
3101110100020020000
420330120310231
5301403014140
622520014513
73501246600
oct1074306455
9343306200
10150048045
1177775354
1242301439
1325117a34
1415cdc337
15d28da30
hex8f18d2d

150048045 has 60 divisors (see below), whose sum is σ = 312930684. Its totient is φ = 68584320.

The previous prime is 150048023. The next prime is 150048053. The reversal of 150048045 is 540840051.

150048045 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 44595684 + 105452361 = 6678^2 + 10269^2 .

It is not a de Polignac number, because 150048045 - 28 = 150047789 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 16065 + ... + 23625.

Almost surely, 2150048045 is an apocalyptic number.

150048045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

150048045 is an abundant number, since it is smaller than the sum of its proper divisors (162882639).

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

150048045 is an equidigital number, since it uses as much as digits as its factorization.

150048045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7592 (or 7576 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 150048045 is about 12249.4099857912. The cubic root of 150048045 is about 531.3860067923.

Adding to 150048045 its reverse (540840051), we get a palindrome (690888096).

The spelling of 150048045 in words is "one hundred fifty million, forty-eight thousand, forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 49 63 81 105 135 147 189 245 315 405 441 567 735 945 1323 2205 2835 3969 6615 7561 19845 22683 37805 52927 68049 113415 158781 204147 264635 340245 370489 476343 612441 793905 1020735 1111467 1429029 1852445 2381715 3062205 3334401 4287087 5557335 7145145 10003203 16672005 21435435 30009609 50016015 150048045