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42057216 = 29329127
BaseRepresentation
bin1010000001101…
…1111000000000
32221010201122200
42200123320000
541231312331
64101233200
71020323535
oct240337000
987121580
1042057216
1121816233
1212102800
138937036
14582ad8c
153a5b5e6
hex281be00

42057216 has 60 divisors (see below), whose sum is σ = 121393272. Its totient is φ = 14017536.

The previous prime is 42057181. The next prime is 42057233. The reversal of 42057216 is 61275024.

It is a self number, because there is not a number n which added to its sum of digits gives 42057216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 45 + ... + 9171.

Almost surely, 242057216 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 42057216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60696636).

42057216 is an abundant number, since it is smaller than the sum of its proper divisors (79336056).

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

42057216 is an equidigital number, since it uses as much as digits as its factorization.

42057216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9151 (or 9132 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 42057216 is about 6485.1535062788. The cubic root of 42057216 is about 347.7604375810.

The spelling of 42057216 in words is "forty-two million, fifty-seven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 9127 18254 27381 36508 54762 73016 82143 109524 146032 164286 219048 292064 328572 438096 584128 657144 876192 1168256 1314288 1752384 2336512 2628576 3504768 4673024 5257152 7009536 10514304 14019072 21028608 42057216