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142637550 = 235211137631
BaseRepresentation
bin10001000000001…
…11100111101110
3100221101201221020
420200013213232
5243003400200
622053115010
73351253626
oct1040074756
9327351836
10142637550
1173573780
123b928a66
1323721a23
1414d2d886
15c7c7ea0
hex88079ee

142637550 has 96 divisors (see below), whose sum is σ = 389332224. Its totient is φ = 34272000.

The previous prime is 142637533. The next prime is 142637557. The reversal of 142637550 is 55736241.

142637550 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142637557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 225735 + ... + 226365.

It is an arithmetic number, because the mean of its divisors is an integer number (4055544).

Almost surely, 2142637550 is an apocalyptic number.

142637550 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 142637550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194666112).

142637550 is an abundant number, since it is smaller than the sum of its proper divisors (246694674).

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

142637550 is a wasteful number, since it uses less digits than its factorization.

142637550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 789 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 142637550 is about 11943.0963321912. The cubic root of 142637550 is about 522.4899687489.

The spelling of 142637550 in words is "one hundred forty-two million, six hundred thirty-seven thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 137 150 165 274 275 330 411 550 631 685 822 825 1262 1370 1507 1650 1893 2055 3014 3155 3425 3786 4110 4521 6310 6850 6941 7535 9042 9465 10275 13882 15070 15775 18930 20550 20823 22605 31550 34705 37675 41646 45210 47325 69410 75350 86447 94650 104115 113025 172894 173525 208230 226050 259341 347050 432235 518682 520575 864470 950917 1041150 1296705 1901834 2161175 2593410 2852751 4322350 4754585 5705502 6483525 9509170 12967050 14263755 23772925 28527510 47545850 71318775 142637550