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75406941 = 3247892003
BaseRepresentation
bin1000111111010…
…01111001011101
312020220001212200
410133221321131
5123301010231
611252122113
71603643211
oct437517135
9166801780
1075406941
1139624395
1221306339
13128128bc
14a02c941
156947be6
hex47e9e5d

75406941 has 24 divisors (see below), whose sum is σ = 112544640. Its totient is φ = 48624576.

The previous prime is 75406939. The next prime is 75406979. The reversal of 75406941 is 14960457.

It is not a de Polignac number, because 75406941 - 21 = 75406939 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 75406896 and 75406905.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (75406141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36646 + ... + 38648.

It is an arithmetic number, because the mean of its divisors is an integer number (4689360).

Almost surely, 275406941 is an apocalyptic number.

It is an amenable number.

75406941 is a deficient number, since it is larger than the sum of its proper divisors (37137699).

75406941 is a wasteful number, since it uses less digits than its factorization.

75406941 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2145 (or 2142 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 75406941 is about 8683.7170036799. The cubic root of 75406941 is about 422.4776847101.

The spelling of 75406941 in words is "seventy-five million, four hundred six thousand, nine hundred forty-one".

Divisors: 1 3 9 47 89 141 267 423 801 2003 4183 6009 12549 18027 37647 94141 178267 282423 534801 847269 1604403 8378549 25135647 75406941