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37941241 = 133123037
BaseRepresentation
bin1001000010111…
…0111111111001
32122101121121011
42100232333321
534203104431
63433113521
7640331602
oct220567771
978347534
1037941241
111a4648a8
12108588a1
137b25750
145078da9
1534e6cb1
hex242eff9

37941241 has 12 divisors (see below), whose sum is σ = 42234276. Its totient is φ = 33881760.

The previous prime is 37941227. The next prime is 37941247. The reversal of 37941241 is 14214973.

It can be written as a sum of positive squares in 2 ways, for example, as 18835600 + 19105641 = 4340^2 + 4371^2 .

It is a de Polignac number, because none of the positive numbers 2k-37941241 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (37941247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10975 + ... + 14011.

It is an arithmetic number, because the mean of its divisors is an integer number (3519523).

Almost surely, 237941241 is an apocalyptic number.

37941241 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

37941241 is a deficient number, since it is larger than the sum of its proper divisors (4293035).

37941241 is a wasteful number, since it uses less digits than its factorization.

37941241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3112 (or 3081 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 37941241 is about 6159.6461749032. The cubic root of 37941241 is about 336.0241650468.

The spelling of 37941241 in words is "thirty-seven million, nine hundred forty-one thousand, two hundred forty-one".

Divisors: 1 13 31 403 961 3037 12493 39481 94147 1223911 2918557 37941241