Search a number
-
+
150204288 = 2731330089
BaseRepresentation
bin10001111001111…
…10111110000000
3101110122011112210
420330332332000
5301423014123
622523222120
73502500243
oct1074767600
9343564483
10150204288
1177871783
1242377940
1325170ba0
1415d3d25a
15d2bee93
hex8f3ef80

150204288 has 64 divisors (see below), whose sum is σ = 429685200. Its totient is φ = 46215168.

The previous prime is 150204281. The next prime is 150204293. The reversal of 150204288 is 882402051.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×1502042882 = 45122656267173888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (150204281) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10053 + ... + 20036.

Almost surely, 2150204288 is an apocalyptic number.

It is an amenable number.

150204288 is an abundant number, since it is smaller than the sum of its proper divisors (279480912).

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

150204288 is a wasteful number, since it uses less digits than its factorization.

150204288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30119 (or 30107 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 150204288 is about 12255.7858989132. The cubic root of 150204288 is about 531.5703844979.

The spelling of 150204288 in words is "one hundred fifty million, two hundred four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 30089 60178 90267 120356 180534 240712 361068 391157 481424 722136 782314 962848 1173471 1444272 1564628 1925696 2346942 2888544 3129256 3851392 4693884 5777088 6258512 9387768 11554176 12517024 18775536 25034048 37551072 50068096 75102144 150204288