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145983285 = 3257676917
BaseRepresentation
bin10001011001110…
…00011100110101
3101011200201102100
420230320130311
5244332431120
622252532313
73421560150
oct1054703465
9334621370
10145983285
1175449448
1240a81099
1324323856
1415560c97
15cc39490
hex8b38735

145983285 has 48 divisors (see below), whose sum is σ = 293544576. Its totient is φ = 65729664.

The previous prime is 145983281. The next prime is 145983293. The reversal of 145983285 is 582389541.

145983285 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145983285 - 22 = 145983281 is a prime.

It is a super-3 number, since 3×1459832853 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 145983285.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145983281) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17647 + ... + 24563.

It is an arithmetic number, because the mean of its divisors is an integer number (6115512).

Almost surely, 2145983285 is an apocalyptic number.

145983285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145983285 is an abundant number, since it is smaller than the sum of its proper divisors (147561291).

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

145983285 is a wasteful number, since it uses less digits than its factorization.

145983285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7002 (or 6999 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 145983285 is about 12082.3542821753. The cubic root of 145983285 is about 526.5436472718.

The spelling of 145983285 in words is "one hundred forty-five million, nine hundred eighty-three thousand, two hundred eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 67 105 201 315 335 469 603 1005 1407 2345 3015 4221 6917 7035 20751 21105 34585 48419 62253 103755 145257 242095 311265 435771 463439 726285 1390317 2178855 2317195 3244073 4170951 6951585 9732219 16220365 20854755 29196657 48661095 145983285