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42850944 = 27344133
BaseRepresentation
bin1010001101110…
…1101010000000
32222122001110000
42203131222000
541432212234
64130240000
71030140603
oct243355200
988561400
1042850944
1122208604
1212426000
138b543b6
14599633a
153b66899
hex28dda80

42850944 has 80 divisors (see below), whose sum is σ = 127554570. Its totient is φ = 14280192.

The previous prime is 42850937. The next prime is 42850949. The reversal of 42850944 is 44905824.

It can be written as a sum of positive squares in only one way, i.e., 32353344 + 10497600 = 5688^2 + 3240^2 .

It is a super-2 number, since 2×428509442 = 3672406803382272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 42850899 and 42850908.

It is not an unprimeable number, because it can be changed into a prime (42850949) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8302 + ... + 12434.

Almost surely, 242850944 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 42850944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63777285).

42850944 is an abundant number, since it is smaller than the sum of its proper divisors (84703626).

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

42850944 is an equidigital number, since it uses as much as digits as its factorization.

42850944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4159 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 42850944 is about 6546.0632444241. The cubic root of 42850944 is about 349.9345292505.

The spelling of 42850944 in words is "forty-two million, eight hundred fifty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 288 324 384 432 576 648 864 1152 1296 1728 2592 3456 4133 5184 8266 10368 12399 16532 24798 33064 37197 49596 66128 74394 99192 111591 132256 148788 198384 223182 264512 297576 334773 396768 446364 529024 595152 669546 793536 892728 1190304 1339092 1587072 1785456 2380608 2678184 3570912 4761216 5356368 7141824 10712736 14283648 21425472 42850944