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145575468 = 2239432
BaseRepresentation
bin10001010110101…
…00111000101100
3101010221000000000
420223110320230
5244231403333
622240104300
73415241163
oct1053247054
9333830000
10145575468
11751a0005
1240905090
132421003c
14154963da
15cba8713
hex8ad4e2c

145575468 has 90 divisors (see below), whose sum is σ = 391222524. Its totient is φ = 47396664.

The previous prime is 145575467. The next prime is 145575499. The reversal of 145575468 is 864575541.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

145575468 is a `hidden beast` number, since 14 + 5 + 575 + 4 + 68 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (672000) is a multiple of the sum of its prime divisors (48).

It is not an unprimeable number, because it can be changed into a prime (145575467) 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 29 ways as a sum of consecutive naturals, for example, 3385455 + ... + 3385497.

Almost surely, 2145575468 is an apocalyptic number.

145575468 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145575468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195611262).

145575468 is an abundant number, since it is smaller than the sum of its proper divisors (245647056).

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

145575468 is an frugal number, since it uses more digits than its factorization.

145575468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 48 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 145575468 is about 12065.4659255248. The cubic root of 145575468 is about 526.0528748285.

The spelling of 145575468 in words is "one hundred forty-five million, five hundred seventy-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 81 86 108 129 162 172 243 258 324 387 486 516 729 774 972 1161 1458 1548 1849 2187 2322 2916 3483 3698 4374 4644 5547 6561 6966 7396 8748 10449 11094 13122 13932 16641 19683 20898 22188 26244 31347 33282 39366 41796 49923 62694 66564 78732 94041 99846 125388 149769 188082 199692 282123 299538 376164 449307 564246 599076 846369 898614 1128492 1347921 1692738 1797228 2695842 3385476 4043763 5391684 8087526 12131289 16175052 24262578 36393867 48525156 72787734 145575468