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142386288 = 243111729547
BaseRepresentation
bin10000111110010…
…10010001110000
3100220220222021020
420133022101300
5242422330123
622043455440
73346156242
oct1037122160
9326828236
10142386288
1173411a20
123b827580
1323664555
1414ca6092
15c7787e3
hex87ca470

142386288 has 160 divisors (see below), whose sum is σ = 440328960. Its totient is φ = 39137280.

The previous prime is 142386241. The next prime is 142386289. The reversal of 142386288 is 882683241.

It is a happy number.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142386289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 260031 + ... + 260577.

It is an arithmetic number, because the mean of its divisors is an integer number (2752056).

Almost surely, 2142386288 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 142386288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220164480).

142386288 is an abundant number, since it is smaller than the sum of its proper divisors (297942672).

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

142386288 is a wasteful number, since it uses less digits than its factorization.

142386288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 615 (or 609 counting only the distinct ones).

The product of its digits is 147456, while the sum is 42.

The square root of 142386288 is about 11932.5725642043. The cubic root of 142386288 is about 522.1829924625.

The spelling of 142386288 in words is "one hundred forty-two million, three hundred eighty-six thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 29 33 34 44 48 51 58 66 68 87 88 102 116 132 136 174 176 187 204 232 264 272 319 348 374 408 464 493 528 547 561 638 696 748 816 957 986 1094 1122 1276 1392 1479 1496 1641 1914 1972 2188 2244 2552 2958 2992 3282 3828 3944 4376 4488 5104 5423 5916 6017 6564 7656 7888 8752 8976 9299 10846 11832 12034 13128 15312 15863 16269 18051 18598 21692 23664 24068 26256 27897 31726 32538 36102 37196 43384 47589 48136 55794 63452 65076 72204 74392 86768 95178 96272 102289 111588 126904 130152 144408 148784 174493 190356 204578 223176 253808 260304 269671 288816 306867 348986 380712 409156 446352 523479 539342 613734 697972 761424 809013 818312 1046958 1078684 1227468 1395944 1618026 1636624 2093916 2157368 2454936 2791888 2966381 3236052 4187832 4314736 4909872 5932762 6472104 8375664 8899143 11865524 12944208 17798286 23731048 35596572 47462096 71193144 142386288