Search a number
-
+
40744512 = 2633171973
BaseRepresentation
bin1001101101101…
…1011001000000
32211200000222000
42123123121000
540412311022
64013144000
71003215444
oct233333100
984600860
1040744512
1120aa9a56
121178b000
1385976a3
1455a8824
15389c6ac
hex26db640

40744512 has 224 divisors, whose sum is σ = 135331200. Its totient is φ = 11943936.

The previous prime is 40744499. The next prime is 40744513. The reversal of 40744512 is 21544704.

It is a super-3 number, since 3×407445123 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (40744513) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 558108 + ... + 558180.

Almost surely, 240744512 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 40744512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67665600).

40744512 is an abundant number, since it is smaller than the sum of its proper divisors (94586688).

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

40744512 is a wasteful number, since it uses less digits than its factorization.

40744512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 40744512 is about 6383.1427995933. The cubic root of 40744512 is about 344.1039887529.

The spelling of 40744512 in words is "forty million, seven hundred forty-four thousand, five hundred twelve".