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142928775 = 325211174379
BaseRepresentation
bin10001000010011…
…10101110000111
3100221221112102100
420201032232013
5243042210100
622103243143
73353605653
oct1041165607
9327845370
10142928775
1173752560
123ba494b3
13237c4452
1414da7a63
15c834400
hex884eb87

142928775 has 144 divisors (see below), whose sum is σ = 306408960. Its totient is φ = 62899200.

The previous prime is 142928771. The next prime is 142928783. The reversal of 142928775 is 577829241.

It is a happy number.

It is not a de Polignac number, because 142928775 - 22 = 142928771 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 142928775.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142928771) 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 143 ways as a sum of consecutive naturals, for example, 1809186 + ... + 1809264.

It is an arithmetic number, because the mean of its divisors is an integer number (2127840).

Almost surely, 2142928775 is an apocalyptic number.

142928775 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

142928775 is an abundant number, since it is smaller than the sum of its proper divisors (163480185).

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

142928775 is a wasteful number, since it uses less digits than its factorization.

142928775 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its digits is 282240, while the sum is 45.

The square root of 142928775 is about 11955.2823053243. The cubic root of 142928775 is about 522.8453186113.

The spelling of 142928775 in words is "one hundred forty-two million, nine hundred twenty-eight thousand, seven hundred seventy-five".

Divisors: 1 3 5 9 11 15 17 25 33 43 45 51 55 75 79 85 99 129 153 165 187 215 225 237 255 275 387 395 425 473 495 561 645 711 731 765 825 869 935 1075 1185 1275 1343 1419 1683 1935 1975 2193 2365 2475 2607 2805 3225 3397 3555 3655 3825 4029 4257 4345 4675 5925 6579 6715 7095 7821 8041 8415 9675 10191 10965 11825 12087 13035 14025 14773 16985 17775 18275 20145 21285 21725 24123 30573 32895 33575 35475 37367 39105 40205 42075 44319 50955 54825 57749 60435 65175 72369 73865 84925 100725 106425 112101 120615 132957 152865 164475 173247 186835 195525 201025 221595 254775 288745 302175 336303 361845 369325 519741 560505 603075 635239 664785 764325 866235 934175 1107975 1443725 1681515 1809225 1905717 2598705 2802525 3176195 3323925 4331175 5717151 8407575 9528585 12993525 15880975 28585755 47642925 142928775