Search a number
-
+
40604112 = 2433193487
BaseRepresentation
bin1001101011100…
…1000111010000
32211101220101000
42122321013100
540343312422
64010142000
71002062223
oct232710720
984356330
1040604112
1120a1351a
1211721900
138548803
14556d5ba
153870cac
hex26b91d0

40604112 has 80 divisors (see below), whose sum is σ = 117393280. Its totient is φ = 13436928.

The previous prime is 40604111. The next prime is 40604167. The reversal of 40604112 is 21140604.

It is a super-2 number, since 2×406041122 = 3297387822617088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40604111) 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, 83133 + ... + 83619.

It is an arithmetic number, because the mean of its divisors is an integer number (1467416).

Almost surely, 240604112 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 40604112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58696640).

40604112 is an abundant number, since it is smaller than the sum of its proper divisors (76789168).

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

40604112 is a wasteful number, since it uses less digits than its factorization.

40604112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 697 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 40604112 is about 6372.1355917777. The cubic root of 40604112 is about 343.7082888452.

Adding to 40604112 its reverse (21140604), we get a palindrome (61744716).

The spelling of 40604112 in words is "forty million, six hundred four thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 193 216 386 432 487 579 772 974 1158 1461 1544 1737 1948 2316 2922 3088 3474 3896 4383 4632 5211 5844 6948 7792 8766 9264 10422 11688 13149 13896 17532 20844 23376 26298 27792 35064 41688 52596 70128 83376 93991 105192 187982 210384 281973 375964 563946 751928 845919 1127892 1503856 1691838 2255784 2537757 3383676 4511568 5075514 6767352 10151028 13534704 20302056 40604112