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145325565 = 32571141941
BaseRepresentation
bin10001010100101…
…11110111111101
3101010110022012100
420222113313331
5244200404230
622230455313
73413150460
oct1052276775
9333408170
10145325565
117503a280
1240804539
1324153378
141542d2d7
15cb59660
hex8a97dfd

145325565 has 48 divisors (see below), whose sum is σ = 314061696. Its totient is φ = 60393600.

The previous prime is 145325561. The next prime is 145325611. The reversal of 145325565 is 565523541.

145325565 is a `hidden beast` number, since 14 + 532 + 55 + 65 = 666.

It is not a de Polignac number, because 145325565 - 22 = 145325561 is a prime.

It is a super-2 number, since 2×1453255652 = 42239039685138450, which contains 22 as substring.

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 Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145325561) 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, 17506 + ... + 24435.

It is an arithmetic number, because the mean of its divisors is an integer number (6542952).

Almost surely, 2145325565 is an apocalyptic number.

145325565 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145325565 is an abundant number, since it is smaller than the sum of its proper divisors (168736131).

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

145325565 is a wasteful number, since it uses less digits than its factorization.

145325565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41970 (or 41967 counting only the distinct ones).

The product of its digits is 90000, while the sum is 36.

The square root of 145325565 is about 12055.1053500166. The cubic root of 145325565 is about 525.7516851424.

The spelling of 145325565 in words is "one hundred forty-five million, three hundred twenty-five thousand, five hundred sixty-five".

Divisors: 1 3 5 7 9 11 15 21 33 35 45 55 63 77 99 105 165 231 315 385 495 693 1155 3465 41941 125823 209705 293587 377469 461351 629115 880761 1384053 1467935 1887345 2306755 2642283 3229457 4152159 4403805 6920265 9688371 13211415 16147285 20760795 29065113 48441855 145325565