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42883425 = 365213181
BaseRepresentation
bin1010001110010…
…1100101100001
32222200201000000
42203211211201
541434232200
64131050213
71030334364
oct243454541
988621000
1042883425
112222aa52
1212440969
138b66110
1459a40db
153b71300
hex28e5961

42883425 has 84 divisors (see below), whose sum is σ = 86333884. Its totient is φ = 20995200.

The previous prime is 42883403. The next prime is 42883441. The reversal of 42883425 is 52438824.

It can be written as a sum of positive squares in 6 ways, for example, as 16842816 + 26040609 = 4104^2 + 5103^2 .

It is not a de Polignac number, because 42883425 - 210 = 42882401 is a prime.

It is a super-3 number, since 3×428834253 (a number of 24 digits) contains 333 as substring.

It is a nialpdrome in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 42883425.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 236835 + ... + 237015.

Almost surely, 242883425 is an apocalyptic number.

42883425 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42883425 is an abundant number, since it is smaller than the sum of its proper divisors (43450459).

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

42883425 is a wasteful number, since it uses less digits than its factorization.

42883425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 202 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The square root of 42883425 is about 6548.5437312428. The cubic root of 42883425 is about 350.0229236686.

The spelling of 42883425 in words is "forty-two million, eight hundred eighty-three thousand, four hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 181 195 225 243 325 351 405 543 585 675 729 905 975 1053 1215 1629 1755 2025 2353 2715 2925 3159 3645 4525 4887 5265 6075 7059 8145 8775 9477 11765 13575 14661 15795 18225 21177 24435 26325 35295 40725 43983 47385 58825 63531 73305 78975 105885 122175 131949 176475 190593 219915 236925 317655 366525 529425 571779 659745 952965 1099575 1588275 1715337 2858895 3298725 4764825 8576685 14294475 42883425