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8007493 = 1317191907
BaseRepresentation
bin11110100010111101000101
3120001211012211
4132202331011
54022214433
6443343421
7125030314
oct36427505
916054184
108007493
11457a16a
122821b71
131874980
1410c627b
15a828cd
hex7a2f45

8007493 has 16 divisors (see below), whose sum is σ = 9616320. Its totient is φ = 6587136.

The previous prime is 8007491. The next prime is 8007497. The reversal of 8007493 is 3947008.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 8007493 - 21 = 8007491 is a prime.

It is a Duffinian number.

8007493 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8007491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3246 + ... + 5152.

It is an arithmetic number, because the mean of its divisors is an integer number (601020).

Almost surely, 28007493 is an apocalyptic number.

It is an amenable number.

8007493 is a deficient number, since it is larger than the sum of its proper divisors (1608827).

8007493 is a wasteful number, since it uses less digits than its factorization.

8007493 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956.

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

The square root of 8007493 is about 2829.7514025087. The cubic root of 8007493 is about 200.0624221820.

The spelling of 8007493 in words is "eight million, seven thousand, four hundred ninety-three".

Divisors: 1 13 17 19 221 247 323 1907 4199 24791 32419 36233 421447 471029 615961 8007493