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145437984 = 2533168331
BaseRepresentation
bin10001010101100…
…11010100100000
3101010200000102000
420222303110200
5244213003414
622233124000
73414126306
oct1052632440
9333600360
10145437984
117510678a
1240859600
13241925a3
141545c276
15cb7cb09
hex8ab3520

145437984 has 48 divisors (see below), whose sum is σ = 424196640. Its totient is φ = 48479040.

The previous prime is 145437979. The next prime is 145438003. The reversal of 145437984 is 489734541.

145437984 is a `hidden beast` number, since 14 + 543 + 7 + 98 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (48).

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, 83302 + ... + 85029.

It is an arithmetic number, because the mean of its divisors is an integer number (8837430).

Almost surely, 2145437984 is an apocalyptic number.

It is an amenable number.

145437984 is an abundant number, since it is smaller than the sum of its proper divisors (278758656).

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

145437984 is a wasteful number, since it uses less digits than its factorization.

145437984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168350 (or 168336 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 145437984 is about 12059.7671619314. The cubic root of 145437984 is about 525.8872181778.

The spelling of 145437984 in words is "one hundred forty-five million, four hundred thirty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 168331 336662 504993 673324 1009986 1346648 1514979 2019972 2693296 3029958 4039944 4544937 5386592 6059916 8079888 9089874 12119832 16159776 18179748 24239664 36359496 48479328 72718992 145437984