Search a number
-
+
150444738 = 23237397569
BaseRepresentation
bin10001111011110…
…01101011000010
3101111002101101100
420331321223002
5302003212423
622532315230
73504521253
oct1075715302
9344071340
10150444738
1177a163a4
1242472b16
1325226472
1415da2b2a
15d31b343
hex8f79ac2

150444738 has 48 divisors (see below), whose sum is σ = 336206520. Its totient is φ = 48584448.

The previous prime is 150444737. The next prime is 150444757. The reversal of 150444738 is 837444051.

It can be written as a sum of positive squares in 4 ways, for example, as 140351409 + 10093329 = 11847^2 + 3177^2 .

It is not an unprimeable number, because it can be changed into a prime (150444731) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 264118 + ... + 264686.

Almost surely, 2150444738 is an apocalyptic number.

150444738 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 150444738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168103260).

150444738 is an abundant number, since it is smaller than the sum of its proper divisors (185761782).

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

150444738 is a wasteful number, since it uses less digits than its factorization.

150444738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1011 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 150444738 is about 12265.5916286170. The cubic root of 150444738 is about 531.8538827427.

Adding to 150444738 its reverse (837444051), we get a palindrome (987888789).

The spelling of 150444738 in words is "one hundred fifty million, four hundred forty-four thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 397 569 666 794 1138 1191 1707 2382 3414 3573 5121 7146 10242 14689 21053 29378 42106 44067 63159 88134 126318 132201 189477 225893 264402 378954 451786 677679 1355358 2033037 4066074 8358041 16716082 25074123 50148246 75222369 150444738