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145986408 = 2333675863
BaseRepresentation
bin10001011001110…
…01001101101000
3101011200212201000
420230321031220
5244333031113
622252555000
73421602231
oct1054711550
9334625630
10145986408
1175450827
1240a82a60
13243250b9
1415562088
15cc3a373
hex8b39368

145986408 has 32 divisors (see below), whose sum is σ = 405518400. Its totient is φ = 48662064.

The previous prime is 145986403. The next prime is 145986427. The reversal of 145986408 is 804689541.

145986408 is a `hidden beast` number, since 14 + 598 + 6 + 40 + 8 = 666.

It is a super-3 number, since 3×1459864083 (a number of 25 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (145986403) 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 7 ways as a sum of consecutive naturals, for example, 337716 + ... + 338147.

It is an arithmetic number, because the mean of its divisors is an integer number (12672450).

Almost surely, 2145986408 is an apocalyptic number.

145986408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

145986408 is an abundant number, since it is smaller than the sum of its proper divisors (259531992).

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

145986408 is a wasteful number, since it uses less digits than its factorization.

145986408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675878 (or 675868 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The square root of 145986408 is about 12082.4835195418. The cubic root of 145986408 is about 526.5474020032.

The spelling of 145986408 in words is "one hundred forty-five million, nine hundred eighty-six thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 675863 1351726 2027589 2703452 4055178 5406904 6082767 8110356 12165534 16220712 18248301 24331068 36496602 48662136 72993204 145986408