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144928008 = 2333670963
BaseRepresentation
bin10001010001101…
…10110100001000
3101002201002212000
420220312310020
5244100144013
622214151000
73406603431
oct1050666410
9332632760
10144928008
1174898615
1240652460
1324044424
1415368488
15cacb973
hex8a36d08

144928008 has 32 divisors (see below), whose sum is σ = 402578400. Its totient is φ = 48309264.

The previous prime is 144927997. The next prime is 144928039. The reversal of 144928008 is 800829441.

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 Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 335266 + ... + 335697.

It is an arithmetic number, because the mean of its divisors is an integer number (12580575).

Almost surely, 2144928008 is an apocalyptic number.

144928008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144928008 is an abundant number, since it is smaller than the sum of its proper divisors (257650392).

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

144928008 is a wasteful number, since it uses less digits than its factorization.

144928008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 670978 (or 670968 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 144928008 is about 12038.6049025624. The cubic root of 144928008 is about 525.2718265804.

It can be divided in two parts, 14492 and 8008, that added together give a square (22500 = 1502).

The spelling of 144928008 in words is "one hundred forty-four million, nine hundred twenty-eight thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 670963 1341926 2012889 2683852 4025778 5367704 6038667 8051556 12077334 16103112 18116001 24154668 36232002 48309336 72464004 144928008