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150514208 = 25132315731
BaseRepresentation
bin10001111100010…
…10101000100000
3101111012220200022
420332022220200
5302012423313
622534013012
73505230635
oct1076125040
9344186608
10150514208
1177a63609
12424a7168
132524bc80
1415dc018c
15d331c08
hex8f8aa20

150514208 has 48 divisors (see below), whose sum is σ = 333014976. Its totient is φ = 66443520.

The previous prime is 150514201. The next prime is 150514241. The reversal of 150514208 is 802415051.

150514208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (150514201) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1703 + ... + 17433.

It is an arithmetic number, because the mean of its divisors is an integer number (6937812).

Almost surely, 2150514208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150514208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166507488).

150514208 is an abundant number, since it is smaller than the sum of its proper divisors (182500768).

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

150514208 is a wasteful number, since it uses less digits than its factorization.

150514208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15777 (or 15769 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 150514208 is about 12268.4232075683. The cubic root of 150514208 is about 531.9357338466.

Adding to 150514208 its reverse (802415051), we get a palindrome (952929259).

The spelling of 150514208 in words is "one hundred fifty million, five hundred fourteen thousand, two hundred eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 736 1196 2392 4784 9568 15731 31462 62924 125848 204503 251696 361813 409006 503392 723626 818012 1447252 1636024 2894504 3272048 4703569 5789008 6544096 9407138 11578016 18814276 37628552 75257104 150514208