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142824192 = 283731857
BaseRepresentation
bin10001000001101…
…01001100000000
3100221202012221220
420200311030000
5243030333232
622101115040
73352662030
oct1040651400
9327665856
10142824192
1173690a25
123b9b8a80
1323788974
1414d7b8c0
15c81342c
hex8835300

142824192 has 144 divisors (see below), whose sum is σ = 448960512. Its totient is φ = 39444480.

The previous prime is 142824173. The next prime is 142824251. The reversal of 142824192 is 291428241.

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, 166228 + ... + 167084.

Almost surely, 2142824192 is an apocalyptic number.

142824192 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 142824192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224480256).

142824192 is an abundant number, since it is smaller than the sum of its proper divisors (306136320).

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

142824192 is an equidigital number, since it uses as much as digits as its factorization.

142824192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 900 counting only the distinct ones).

The product of its digits is 9216, while the sum is 33.

The square root of 142824192 is about 11950.9075805982. The cubic root of 142824192 is about 522.7177630642.

The spelling of 142824192 in words is "one hundred forty-two million, eight hundred twenty-four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 651 672 744 768 857 868 896 992 1302 1344 1488 1714 1736 1792 1984 2571 2604 2688 2976 3428 3472 3968 5142 5208 5376 5952 5999 6856 6944 7936 10284 10416 11904 11998 13712 13888 17997 20568 20832 23808 23996 26567 27424 27776 35994 41136 41664 47992 53134 54848 55552 71988 79701 82272 83328 95984 106268 109696 143976 159402 164544 166656 185969 191968 212536 219392 287952 318804 329088 371938 383936 425072 557907 575904 637608 658176 743876 767872 850144 1115814 1151808 1275216 1487752 1535744 1700288 2231628 2303616 2550432 2975504 3400576 4463256 4607232 5100864 5951008 6801152 8926512 10201728 11902016 17853024 20403456 23804032 35706048 47608064 71412096 142824192