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142683552 = 25331115013
BaseRepresentation
bin10001000000100…
…10110110100000
3100221111002001000
420200102312200
5243011333202
622054112000
73351535014
oct1040226640
9327432030
10142683552
11735a52a0
123b94b600
132373994b
1414d42544
15c7d691c
hex8812da0

142683552 has 96 divisors (see below), whose sum is σ = 454023360. Its totient is φ = 43234560.

The previous prime is 142683551. The next prime is 142683571. The reversal of 142683552 is 255386241.

142683552 is a `hidden beast` number, since 1 + 4 + 26 + 83 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1426835522 = 40717192022673408, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (142683551) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1998 + ... + 17010.

It is an arithmetic number, because the mean of its divisors is an integer number (4729410).

Almost surely, 2142683552 is an apocalyptic number.

142683552 is a gapful number since it is divisible by the number (12) 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 142683552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227011680).

142683552 is an abundant number, since it is smaller than the sum of its proper divisors (311339808).

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

142683552 is a wasteful number, since it uses less digits than its factorization.

142683552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15043 (or 15029 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 142683552 is about 11945.0220594187. The cubic root of 142683552 is about 522.5461320806.

The spelling of 142683552 in words is "one hundred forty-two million, six hundred eighty-three thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 15013 30026 45039 60052 90078 120104 135117 165143 180156 240208 270234 330286 360312 405351 480416 495429 540468 660572 720624 810702 990858 1080936 1321144 1441248 1486287 1621404 1981716 2161872 2642288 2972574 3242808 3963432 4323744 4458861 5284576 5945148 6485616 7926864 8917722 11890296 12971232 15853728 17835444 23780592 35670888 47561184 71341776 142683552