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142682848 = 2571179733
BaseRepresentation
bin10001000000100…
…10101011100000
3100221111001001221
420200102223200
5243011322343
622054104424
73351532660
oct1040225340
9327431057
10142682848
11735a4810
123b94b114
1323739529
1414d421a0
15c7d65ed
hex8812ae0

142682848 has 96 divisors (see below), whose sum is σ = 355138560. Its totient is φ = 54812160.

The previous prime is 142682833. The next prime is 142682861. The reversal of 142682848 is 848286241.

It is a super-2 number, since 2×1426828482 = 40716790226782208, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 194290 + ... + 195022.

It is an arithmetic number, because the mean of its divisors is an integer number (3699360).

Almost surely, 2142682848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142682848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177569280).

142682848 is an abundant number, since it is smaller than the sum of its proper divisors (212455712).

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

142682848 is a wasteful number, since it uses less digits than its factorization.

142682848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 840 (or 832 counting only the distinct ones).

The product of its digits is 196608, while the sum is 43.

The square root of 142682848 is about 11944.9925910400. The cubic root of 142682848 is about 522.5452726658.

It can be divided in two parts, 14 and 2682848, that added together give a palindrome (2682862).

The spelling of 142682848 in words is "one hundred forty-two million, six hundred eighty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 79 88 112 154 158 176 224 308 316 352 553 616 632 733 869 1106 1232 1264 1466 1738 2212 2464 2528 2932 3476 4424 5131 5864 6083 6952 8063 8848 10262 11728 12166 13904 16126 17696 20524 23456 24332 27808 32252 41048 48664 56441 57907 64504 82096 97328 112882 115814 129008 164192 194656 225764 231628 258016 405349 451528 463256 636977 810698 903056 926512 1273954 1621396 1806112 1853024 2547908 3242792 4458839 5095816 6485584 8917678 10191632 12971168 17835356 20383264 35670712 71341424 142682848