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150806250 = 232557383
BaseRepresentation
bin10001111110100…
…01111011101010
3101111202202021200
420333101323222
5302101300000
622544145030
73510555240
oct1077217352
9344682250
10150806250
1178142a71
1242608176
1325321b8a
1416058790
15d38d500
hex8fd1eea

150806250 has 144 divisors (see below), whose sum is σ = 467970048. Its totient is φ = 34380000.

The previous prime is 150806233. The next prime is 150806251. The reversal of 150806250 is 52608051.

150806250 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (150806251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 393559 + ... + 393941.

It is an arithmetic number, because the mean of its divisors is an integer number (3249792).

Almost surely, 2150806250 is an apocalyptic number.

150806250 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 150806250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024).

150806250 is an abundant number, since it is smaller than the sum of its proper divisors (317163798).

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

150806250 is an equidigital number, since it uses as much as digits as its factorization.

150806250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 150806250 is about 12280.3196212476. The cubic root of 150806250 is about 532.2795490306.

The spelling of 150806250 in words is "one hundred fifty million, eight hundred six thousand, two hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 125 126 150 175 210 225 250 315 350 375 383 450 525 625 630 750 766 875 1050 1125 1149 1250 1575 1750 1875 1915 2250 2298 2625 2681 3125 3150 3447 3750 3830 4375 5250 5362 5625 5745 6250 6894 7875 8043 8750 9375 9575 11250 11490 13125 13405 15750 16086 17235 18750 19150 21875 24129 26250 26810 28125 28725 34470 39375 40215 43750 47875 48258 56250 57450 65625 67025 78750 80430 86175 95750 120645 131250 134050 143625 172350 196875 201075 239375 241290 287250 335125 393750 402150 430875 478750 603225 670250 718125 861750 1005375 1196875 1206450 1436250 1675625 2010750 2154375 2393750 3016125 3351250 3590625 4308750 5026875 6032250 7181250 8378125 10053750 10771875 15080625 16756250 21543750 25134375 30161250 50268750 75403125 150806250