Search a number
-
+
42240228 = 22331271419
BaseRepresentation
bin1010000100100…
…0100011100100
32221111000200220
42201020203210
541303141403
64105204340
71022015232
oct241104344
987430626
1042240228
1121930788
12121906b0
13899c424
145877952
153a95953
hex28488e4

42240228 has 48 divisors (see below), whose sum is σ = 102359040. Its totient is φ = 13543200.

The previous prime is 42240221. The next prime is 42240271. The reversal of 42240228 is 82204224.

It is a super-2 number, since 2×422402282 = 3568473722983968, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42240198 and 42240207.

It is not an unprimeable number, because it can be changed into a prime (42240221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100603 + ... + 101021.

It is an arithmetic number, because the mean of its divisors is an integer number (2132480).

Almost surely, 242240228 is an apocalyptic number.

It is an amenable number.

42240228 is an abundant number, since it is smaller than the sum of its proper divisors (60118812).

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

42240228 is a wasteful number, since it uses less digits than its factorization.

42240228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 728 (or 726 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 42240228 is about 6499.2482642226. The cubic root of 42240228 is about 348.2641342563.

The spelling of 42240228 in words is "forty-two million, two hundred forty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 271 372 419 542 813 838 1084 1257 1626 1676 2514 3252 5028 8401 12989 16802 25203 25978 33604 38967 50406 51956 77934 100812 113549 155868 227098 340647 454196 681294 1362588 3520019 7040038 10560057 14080076 21120114 42240228