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150085872 = 2434115807
BaseRepresentation
bin10001111001000…
…10000011110000
3101110102011010000
420330202003300
5301410221442
622520510000
73501465066
oct1074420360
9343364100
10150085872
11777a0812
124231b300
132512c011
1415d0c036
15d299d4c
hex8f220f0

150085872 has 50 divisors (see below), whose sum is σ = 434395808. Its totient is φ = 50028192.

The previous prime is 150085841. The next prime is 150085889. The reversal of 150085872 is 278580051.

150085872 is a `hidden beast` number, since 1 + 500 + 85 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 9 ways as a sum of consecutive naturals, for example, 56608 + ... + 59199.

Almost surely, 2150085872 is an apocalyptic number.

150085872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

150085872 is an abundant number, since it is smaller than the sum of its proper divisors (284309936).

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

150085872 is a wasteful number, since it uses less digits than its factorization.

150085872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115827 (or 115812 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 150085872 is about 12250.9539220422. The cubic root of 150085872 is about 531.4306570455.

The spelling of 150085872 in words is "one hundred fifty million, eighty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 115807 231614 347421 463228 694842 926456 1042263 1389684 1852912 2084526 2779368 3126789 4169052 5558736 6253578 8338104 9380367 12507156 16676208 18760734 25014312 37521468 50028624 75042936 150085872