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145527408 = 24331325913
BaseRepresentation
bin10001010110010…
…01001001110000
3101010211120002000
420223021021300
5244223334113
622235054000
73414651105
oct1053111160
9333746060
10145527408
1175167994
12408a1300
13241c41c0
1415482aac
15cb99373
hex8ac9270

145527408 has 80 divisors (see below), whose sum is σ = 449867040. Its totient is φ = 44775936.

The previous prime is 145527407. The next prime is 145527413. The reversal of 145527408 is 804725541.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145527407) 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 15 ways as a sum of consecutive naturals, for example, 7341 + ... + 18572.

It is an arithmetic number, because the mean of its divisors is an integer number (5623338).

Almost surely, 2145527408 is an apocalyptic number.

145527408 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

145527408 is an abundant number, since it is smaller than the sum of its proper divisors (304339632).

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

145527408 is a wasteful number, since it uses less digits than its factorization.

145527408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25943 (or 25931 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The square root of 145527408 is about 12063.4741264695. The cubic root of 145527408 is about 525.9949784347.

The spelling of 145527408 in words is "one hundred forty-five million, five hundred twenty-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 25913 51826 77739 103652 155478 207304 233217 310956 336869 414608 466434 621912 673738 699651 932868 1010607 1243824 1347476 1399302 1865736 2021214 2694952 2798604 3031821 3731472 4042428 5389904 5597208 6063642 8084856 9095463 11194416 12127284 16169712 18190926 24254568 36381852 48509136 72763704 145527408