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8005144 = 237142949
BaseRepresentation
bin11110100010011000011000
3120001200222211
4132202120120
54022131034
6443324504
7125020420
oct36423030
916050884
108005144
114578424
122820734
131873894
1410c5480
15a81d64
hex7a2618

8005144 has 16 divisors (see below), whose sum is σ = 17154000. Its totient is φ = 3430752.

The previous prime is 8005141. The next prime is 8005169. The reversal of 8005144 is 4415008.

8005144 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8005141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 71419 + ... + 71530.

It is an arithmetic number, because the mean of its divisors is an integer number (1072125).

Almost surely, 28005144 is an apocalyptic number.

It is an amenable number.

8005144 is an abundant number, since it is smaller than the sum of its proper divisors (9148856).

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

8005144 is a wasteful number, since it uses less digits than its factorization.

8005144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142962 (or 142958 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 8005144 is about 2829.3363179375. The cubic root of 8005144 is about 200.0428574822.

The spelling of 8005144 in words is "eight million, five thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 56 142949 285898 571796 1000643 1143592 2001286 4002572 8005144