Search a number
-
+
150749284 = 22728772
BaseRepresentation
bin10001111110001…
…00000001100100
3101111122212010211
420333010001210
5302042434114
622543025204
73510230200
oct1077040144
9344585124
10150749284
1178104194
124259b204
1325301c7a
1416041b00
15d37b6c4
hex8fc4064

150749284 has 27 divisors (see below), whose sum is σ = 307232793. Its totient is φ = 64533168.

The previous prime is 150749273. The next prime is 150749293. The reversal of 150749284 is 482947051.

The square root of 150749284 is 12278.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 127012900 + 23736384 = 11270^2 + 4872^2 .

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 8 ways as a sum of consecutive naturals, for example, 171454 + ... + 172330.

Almost surely, 2150749284 is an apocalyptic number.

150749284 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

150749284 is the 12278-th square number.

It is an amenable number.

150749284 is an abundant number, since it is smaller than the sum of its proper divisors (156483509).

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

150749284 is an frugal number, since it uses more digits than its factorization.

150749284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1772 (or 886 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 40.

The cubic root of 150749284 is about 532.2125189715.

The spelling of 150749284 in words is "one hundred fifty million, seven hundred forty-nine thousand, two hundred eighty-four".

Divisors: 1 2 4 7 14 28 49 98 196 877 1754 3508 6139 12278 24556 42973 85946 171892 769129 1538258 3076516 5383903 10767806 21535612 37687321 75374642 150749284