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42382428 = 223112172101
BaseRepresentation
bin1010000110101…
…1010001011100
32221202020202120
42201223101130
541322214203
64112222540
71023146634
oct241532134
987666676
1042382428
1121a18600
121223aa50
138a1c07a
1458b36c4
153ac2b53
hex286b45c

42382428 has 108 divisors (see below), whose sum is σ = 116613336. Its totient is φ = 11968000.

The previous prime is 42382421. The next prime is 42382441. The reversal of 42382428 is 82428324.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42382421) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 419578 + ... + 419678.

Almost surely, 242382428 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 42382428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58306668).

42382428 is an abundant number, since it is smaller than the sum of its proper divisors (74230908).

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

42382428 is a wasteful number, since it uses less digits than its factorization.

42382428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 134 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 42382428 is about 6510.1787993879. The cubic root of 42382428 is about 348.6545021857.

It can be divided in two parts, 4238 and 2428, that added together give a palindrome (6666).

The spelling of 42382428 in words is "forty-two million, three hundred eighty-two thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 101 102 121 132 187 202 204 242 289 303 363 374 404 484 561 578 606 726 748 867 1111 1122 1156 1212 1452 1717 1734 2057 2222 2244 3179 3333 3434 3468 4114 4444 5151 6171 6358 6666 6868 8228 9537 10302 12221 12342 12716 13332 18887 19074 20604 24442 24684 29189 34969 36663 37774 38148 48884 56661 58378 69938 73326 75548 87567 104907 113322 116756 139876 146652 175134 207757 209814 226644 321079 350268 415514 419628 623271 642158 831028 963237 1246542 1284316 1926474 2493084 3531869 3852948 7063738 10595607 14127476 21191214 42382428