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150713472 = 27371319227
BaseRepresentation
bin10001111101110…
…11010010000000
3101111121001000110
420332323102000
5302040312342
622542151320
73510020610
oct1076732200
9344531013
10150713472
117808a298
1242582540
13252bb890
1416032a40
15d370c9c
hex8fbb480

150713472 has 256 divisors, whose sum is σ = 520934400. Its totient is φ = 37490688.

The previous prime is 150713467. The next prime is 150713489. The reversal of 150713472 is 274317051.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 663823 + ... + 664049.

It is an arithmetic number, because the mean of its divisors is an integer number (2034900).

Almost surely, 2150713472 is an apocalyptic number.

150713472 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 150713472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260467200).

150713472 is an abundant number, since it is smaller than the sum of its proper divisors (370220928).

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

150713472 is a wasteful number, since it uses less digits than its factorization.

150713472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 150713472 is about 12276.5415325327. The cubic root of 150713472 is about 532.1703714983.

The spelling of 150713472 in words is "one hundred fifty million, seven hundred thirteen thousand, four hundred seventy-two".