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142762050 = 232522811129
BaseRepresentation
bin10001000001001…
…10000001000010
3100221122001201100
420200212001002
5243021341200
622055515230
73352312614
oct1040460102
9327561640
10142762050
1173649272
123b988b16
13237665b2
1414d62db4
15c7eed00
hex8826042

142762050 has 72 divisors (see below), whose sum is σ = 385259940. Its totient is φ = 37900800.

The previous prime is 142762049. The next prime is 142762051. The reversal of 142762050 is 50267241.

142762050 is a `hidden beast` number, since 14 + 27 + 620 + 5 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (142762049) and next prime (142762051).

It can be written as a sum of positive squares in 6 ways, for example, as 31438449 + 111323601 = 5607^2 + 10551^2 .

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (142762051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 125886 + ... + 127014.

Almost surely, 2142762050 is an apocalyptic number.

142762050 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 142762050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192629970).

142762050 is an abundant number, since it is smaller than the sum of its proper divisors (242497890).

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

142762050 is a wasteful number, since it uses less digits than its factorization.

142762050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1420 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 142762050 is about 11948.3074115123. The cubic root of 142762050 is about 522.6419415503.

The spelling of 142762050 in words is "one hundred forty-two million, seven hundred sixty-two thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 281 450 562 843 1129 1405 1686 2258 2529 2810 3387 4215 5058 5645 6774 7025 8430 10161 11290 12645 14050 16935 20322 21075 25290 28225 33870 42150 50805 56450 63225 84675 101610 126450 169350 254025 317249 508050 634498 951747 1586245 1903494 2855241 3172490 4758735 5710482 7931225 9517470 14276205 15862450 23793675 28552410 47587350 71381025 142762050