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42166528 = 28179689
BaseRepresentation
bin1010000011011…
…0100100000000
32221100021121021
42200312210000
541243312103
64103435224
71021260325
oct240664400
987307537
1042166528
1121890378
1212155b14
138974a11
145858b4c
153a7dbbd
hex2836900

42166528 has 36 divisors (see below), whose sum is σ = 89128620. Its totient is φ = 19841024.

The previous prime is 42166519. The next prime is 42166543. The reversal of 42166528 is 82566124.

It can be written as a sum of positive squares in 2 ways, for example, as 28387584 + 13778944 = 5328^2 + 3712^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 42166493 and 42166502.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 493 + ... + 9196.

It is an arithmetic number, because the mean of its divisors is an integer number (2475795).

Almost surely, 242166528 is an apocalyptic number.

It is an amenable number.

42166528 is an abundant number, since it is smaller than the sum of its proper divisors (46962092).

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

42166528 is an equidigital number, since it uses as much as digits as its factorization.

42166528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9722 (or 9708 counting only the distinct ones).

The product of its digits is 23040, while the sum is 34.

The square root of 42166528 is about 6493.5759023823. The cubic root of 42166528 is about 348.0614679813.

The spelling of 42166528 in words is "forty-two million, one hundred sixty-six thousand, five hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 544 1088 2176 4352 9689 19378 38756 77512 155024 164713 310048 329426 620096 658852 1240192 1317704 2480384 2635408 5270816 10541632 21083264 42166528