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286887042 = 2331319137157
BaseRepresentation
bin10001000110011…
…000110010000010
3201222211101001000
4101012120302002
51041420341132
644244552430
710052333241
oct2106306202
9658741030
10286887042
11137a38532
12800b2716
1347589360
142a15c958
151a2bd87c
hex11198c82

286887042 has 128 divisors (see below), whose sum is σ = 732614400. Its totient is φ = 82487808.

The previous prime is 286887037. The next prime is 286887043. The reversal of 286887042 is 240788682.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (286887043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1827228 + ... + 1827384.

It is an arithmetic number, because the mean of its divisors is an integer number (5723550).

Almost surely, 2286887042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286887042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366307200).

286887042 is an abundant number, since it is smaller than the sum of its proper divisors (445727358).

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

286887042 is a wasteful number, since it uses less digits than its factorization.

286887042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The square root of 286887042 is about 16937.7401680389. The cubic root of 286887042 is about 659.5336788642.

The spelling of 286887042 in words is "two hundred eighty-six million, eight hundred eighty-seven thousand, forty-two".

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 114 117 137 157 171 234 247 274 314 342 351 411 471 494 513 702 741 822 942 1026 1233 1413 1482 1781 2041 2223 2466 2603 2826 2983 3562 3699 4082 4239 4446 5206 5343 5966 6123 6669 7398 7809 8478 8949 10686 12246 13338 15618 16029 17898 18369 21509 23427 26847 32058 33839 36738 38779 43018 46854 48087 53694 55107 64527 67678 70281 77558 80541 96174 101517 110214 116337 129054 140562 161082 193581 203034 232674 279617 304551 349011 387162 408671 559234 580743 609102 698022 817342 838851 913653 1047033 1161486 1226013 1677702 1827306 2094066 2452026 2516553 3678039 5033106 5312723 7356078 7549659 10625446 11034117 15099318 15938169 22068234 31876338 47814507 95629014 143443521 286887042