Search a number
-
+
42301216 = 251379649
BaseRepresentation
bin1010000101011…
…1011100100000
32221121010100201
42201113130200
541312114331
64110354544
71022361106
oct241273440
987533321
1042301216
1121972591
12121bba54
1389c1109
145891c76
153aa8a61
hex2857720

42301216 has 24 divisors (see below), whose sum is σ = 83897100. Its totient is φ = 20994048.

The previous prime is 42301213. The next prime is 42301229. The reversal of 42301216 is 61210324.

It can be written as a sum of positive squares in 2 ways, for example, as 40908816 + 1392400 = 6396^2 + 1180^2 .

It is a super-3 number, since 3×423012163 (a number of 24 digits) contains 333 as substring.

It is a nialpdrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 42301193 and 42301202.

It is not an unprimeable number, because it can be changed into a prime (42301213) 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 3 ways as a sum of consecutive naturals, for example, 441 + ... + 9208.

Almost surely, 242301216 is an apocalyptic number.

It is an amenable number.

42301216 is a deficient number, since it is larger than the sum of its proper divisors (41595884).

42301216 is a wasteful number, since it uses less digits than its factorization.

42301216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9796 (or 9788 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 42301216 is about 6503.9384990942. The cubic root of 42301216 is about 348.4316658558.

The spelling of 42301216 in words is "forty-two million, three hundred one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 137 274 548 1096 2192 4384 9649 19298 38596 77192 154384 308768 1321913 2643826 5287652 10575304 21150608 42301216