Search a number
-
+
40442248 = 23721183113
BaseRepresentation
bin1001101001000…
…1100110001000
32211002200100001
42122101212020
540323122443
64002452344
71000516300
oct232214610
984080301
1040442248
1120912950
12116640b4
1384bcc32
14552a600
15383cd4d
hex2691988

40442248 has 96 divisors (see below), whose sum is σ = 98249760. Its totient is φ = 15429120.

The previous prime is 40442243. The next prime is 40442273. The reversal of 40442248 is 84224404.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (40442243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 357840 + ... + 357952.

It is an arithmetic number, because the mean of its divisors is an integer number (1023435).

Almost surely, 240442248 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 40442248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49124880).

40442248 is an abundant number, since it is smaller than the sum of its proper divisors (57807512).

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

40442248 is a wasteful number, since it uses less digits than its factorization.

40442248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 28.

The square root of 40442248 is about 6359.4219863129. The cubic root of 40442248 is about 343.2509616910.

The spelling of 40442248 in words is "forty million, four hundred forty-two thousand, two hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 22 28 44 49 56 77 83 88 98 113 154 166 196 226 308 332 392 452 539 581 616 664 791 904 913 1078 1162 1243 1582 1826 2156 2324 2486 3164 3652 4067 4312 4648 4972 5537 6328 6391 7304 8134 8701 9379 9944 11074 12782 16268 17402 18758 22148 25564 32536 34804 37516 44296 44737 51128 60907 65653 69608 75032 89474 103169 121814 131306 178948 206338 243628 262612 357896 412676 459571 487256 525224 722183 825352 919142 1444366 1838284 2888732 3676568 5055281 5777464 10110562 20221124 40442248