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40744704 = 2837111353
BaseRepresentation
bin1001101101101…
…1011100000000
32211200001020010
42123123130000
540412312304
64013144520
71003216140
oct233333400
984601203
1040744704
1120aaa110
121178b140
1385977c0
1455a8920
15389c789
hex26db700

40744704 has 288 divisors, whose sum is σ = 148345344. Its totient is φ = 9584640.

The previous prime is 40744687. The next prime is 40744709.

40744704 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40744709) 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, 768742 + ... + 768794.

It is an arithmetic number, because the mean of its divisors is an integer number (515088).

Almost surely, 240744704 is an apocalyptic number.

40744704 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40744704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74172672).

40744704 is an abundant number, since it is smaller than the sum of its proper divisors (107600640).

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

40744704 is a wasteful number, since it uses less digits than its factorization.

40744704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 12544, while the sum is 30.

The square root of 40744704 is about 6383.1578391890. The cubic root of 40744704 is about 344.1045292581.

It can be divided in two parts, 4074 and 4704, that added together give a palindrome (8778).

The spelling of 40744704 in words is "forty million, seven hundred forty-four thousand, seven hundred four".