Search a number
-
+
42212320 = 255263827
BaseRepresentation
bin1010000100000…
…1101111100000
32221102121102021
42201001233200
541301243240
64104431224
71021540663
oct241015740
987377367
1042212320
1121911817
1212178514
13898c807
14586b6da
153a8c54a
hex2841be0

42212320 has 24 divisors (see below), whose sum is σ = 99726984. Its totient is φ = 16884864.

The previous prime is 42212299. The next prime is 42212333. The reversal of 42212320 is 2321224.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 42212294 and 42212303.

It is a congruent number.

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, 131754 + ... + 132073.

It is an arithmetic number, because the mean of its divisors is an integer number (4155291).

Almost surely, 242212320 is an apocalyptic number.

42212320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42212320 is an abundant number, since it is smaller than the sum of its proper divisors (57514664).

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

42212320 is a wasteful number, since it uses less digits than its factorization.

42212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263842 (or 263834 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 42212320 is about 6497.1008919363. The cubic root of 42212320 is about 348.1874183134.

Adding to 42212320 its reverse (2321224), we get a palindrome (44533544).

The spelling of 42212320 in words is "forty-two million, two hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 263827 527654 1055308 1319135 2110616 2638270 4221232 5276540 8442464 10553080 21106160 42212320