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142483536 = 2435132819
BaseRepresentation
bin10000111111000…
…10000001010000
3100221002220200000
420133202001100
5242433433121
622045530000
73350042616
oct1037420120
9327086600
10142483536
1173478a98
123b873900
13236998b0
1414ccd6b6
15c797526
hex87e2050

142483536 has 120 divisors (see below), whose sum is σ = 445492320. Its totient is φ = 43825536.

The previous prime is 142483519. The next prime is 142483541. The reversal of 142483536 is 635384241.

142483536 is a `hidden beast` number, since 1 + 42 + 4 + 83 + 536 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 142483536.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49135 + ... + 51953.

It is an arithmetic number, because the mean of its divisors is an integer number (3712436).

Almost surely, 2142483536 is an apocalyptic number.

142483536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142483536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222746160).

142483536 is an abundant number, since it is smaller than the sum of its proper divisors (303008784).

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

142483536 is a wasteful number, since it uses less digits than its factorization.

142483536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2855 (or 2837 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 142483536 is about 11936.6467653190. The cubic root of 142483536 is about 522.3018468263.

The spelling of 142483536 in words is "one hundred forty-two million, four hundred eighty-three thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 243 312 324 351 432 468 486 624 648 702 936 972 1053 1296 1404 1872 1944 2106 2808 2819 3159 3888 4212 5616 5638 6318 8424 8457 11276 12636 16848 16914 22552 25272 25371 33828 36647 45104 50544 50742 67656 73294 76113 101484 109941 135312 146588 152226 202968 219882 228339 293176 304452 329823 405936 439764 456678 586352 608904 659646 685017 879528 913356 989469 1217808 1319292 1370034 1759056 1826712 1978938 2638584 2740068 2968407 3653424 3957876 5277168 5480136 5936814 7915752 8905221 10960272 11873628 15831504 17810442 23747256 35620884 47494512 71241768 142483536