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42865056 = 2532131072
BaseRepresentation
bin1010001110000…
…1000110100000
32222122202210200
42203201012200
541433140211
64130425200
71030230003
oct243410640
988582720
1042865056
1122218173
1212432200
138b5a950
14599b53a
153b6ab56
hex28e11a0

42865056 has 108 divisors (see below), whose sum is σ = 132512562. Its totient is φ = 13065984.

The previous prime is 42865001. The next prime is 42865061. The reversal of 42865056 is 65056824.

It can be written as a sum of positive squares in only one way, i.e., 41216400 + 1648656 = 6420^2 + 1284^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42865056.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 400555 + ... + 400661.

Almost surely, 242865056 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 42865056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66256281).

42865056 is an abundant number, since it is smaller than the sum of its proper divisors (89647506).

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

42865056 is a wasteful number, since it uses less digits than its factorization.

42865056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 42865056 is about 6547.1410554531. The cubic root of 42865056 is about 349.9729394044.

The spelling of 42865056 in words is "forty-two million, eight hundred sixty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 107 117 144 156 208 214 234 288 312 321 416 428 468 624 642 856 936 963 1248 1284 1391 1712 1872 1926 2568 2782 3424 3744 3852 4173 5136 5564 7704 8346 10272 11128 11449 12519 15408 16692 22256 22898 25038 30816 33384 34347 44512 45796 50076 66768 68694 91592 100152 103041 133536 137388 148837 183184 200304 206082 274776 297674 366368 400608 412164 446511 549552 595348 824328 893022 1099104 1190696 1339533 1648656 1786044 2381392 2679066 3297312 3572088 4762784 5358132 7144176 10716264 14288352 21432528 42865056