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144980928 = 263427967
BaseRepresentation
bin10001010010000…
…11101111000000
3101002210210110000
420221003233000
5244103342203
622215240000
73410213631
oct1051035700
9332723400
10144980928
1174924354
1240679000
1324062541
141537d888
15cadc4a3
hex8a43bc0

144980928 has 70 divisors (see below), whose sum is σ = 429784256. Its totient is φ = 48325248.

The previous prime is 144980923. The next prime is 144980929. The reversal of 144980928 is 829089441.

It is a super-3 number, since 3×1449809283 (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144980923) by changing a digit.

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 9 ways as a sum of consecutive naturals, for example, 8800 + ... + 19167.

Almost surely, 2144980928 is an apocalyptic number.

144980928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

144980928 is an abundant number, since it is smaller than the sum of its proper divisors (284803328).

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

144980928 is an equidigital number, since it uses as much as digits as its factorization.

144980928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27991 (or 27972 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 144980928 is about 12040.8026310541. The cubic root of 144980928 is about 525.3357525777.

The spelling of 144980928 in words is "one hundred forty-four million, nine hundred eighty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 288 324 432 576 648 864 1296 1728 2592 5184 27967 55934 83901 111868 167802 223736 251703 335604 447472 503406 671208 755109 894944 1006812 1342416 1510218 1789888 2013624 2265327 2684832 3020436 4027248 4530654 5369664 6040872 8054496 9061308 12081744 16108992 18122616 24163488 36245232 48326976 72490464 144980928