Search a number
-
+
150041550 = 23523141787
BaseRepresentation
bin10001111000101…
…11001111001110
3101110022220022110
420330113033032
5301402312200
622515524450
73501221631
oct1074271716
9343286273
10150041550
117777048a
12422b9726
1325114aa9
1415cd9c18
15d28bb50
hex8f173ce

150041550 has 96 divisors (see below), whose sum is σ = 393974784. Its totient is φ = 37728000.

The previous prime is 150041533. The next prime is 150041557. The reversal of 150041550 is 55140051.

150041550 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150041557) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190257 + ... + 191043.

It is an arithmetic number, because the mean of its divisors is an integer number (4103904).

Almost surely, 2150041550 is an apocalyptic number.

150041550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150041550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196987392).

150041550 is an abundant number, since it is smaller than the sum of its proper divisors (243933234).

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

150041550 is a wasteful number, since it uses less digits than its factorization.

150041550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 874 (or 869 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 150041550 is about 12249.1448681122. The cubic root of 150041550 is about 531.3783394661.

The spelling of 150041550 in words is "one hundred fifty million, forty-one thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 31 41 50 62 75 82 93 123 150 155 186 205 246 310 410 465 615 775 787 930 1025 1230 1271 1550 1574 2050 2325 2361 2542 3075 3813 3935 4650 4722 6150 6355 7626 7870 11805 12710 19065 19675 23610 24397 31775 32267 38130 39350 48794 59025 63550 64534 73191 95325 96801 118050 121985 146382 161335 190650 193602 243970 322670 365955 484005 609925 731910 806675 968010 1000277 1219850 1613350 1829775 2000554 2420025 3000831 3659550 4840050 5001385 6001662 10002770 15004155 25006925 30008310 50013850 75020775 150041550