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145533348 = 22341572861
BaseRepresentation
bin10001010110010…
…10100110100100
3101010211212020000
420223022212210
5244224031343
622235141300
73415004322
oct1053124644
9333755200
10145533348
11751713a4
12408a4830
13241c6b0c
1415484d12
15cb9aed3
hex8aca9a4

145533348 has 60 divisors (see below), whose sum is σ = 383010012. Its totient is φ = 48185280.

The previous prime is 145533343. The next prime is 145533391. The reversal of 145533348 is 843335541.

It can be written as a sum of positive squares in 2 ways, for example, as 61591104 + 83942244 = 7848^2 + 9162^2 .

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

It is not an unprimeable number, because it can be changed into a prime (145533341) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 49438 + ... + 52298.

Almost surely, 2145533348 is an apocalyptic number.

145533348 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 145533348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191505006).

145533348 is an abundant number, since it is smaller than the sum of its proper divisors (237476664).

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

145533348 is a wasteful number, since it uses less digits than its factorization.

145533348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3034 (or 3023 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 145533348 is about 12063.7203216918. The cubic root of 145533348 is about 526.0021348591.

Adding to 145533348 its reverse (843335541), we get a palindrome (988868889).

The spelling of 145533348 in words is "one hundred forty-five million, five hundred thirty-three thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 157 162 314 324 471 628 942 1413 1884 2826 2861 4239 5652 5722 8478 8583 11444 12717 16956 17166 25434 25749 34332 50868 51498 77247 102996 154494 231741 308988 449177 463482 898354 926964 1347531 1796708 2695062 4042593 5390124 8085186 12127779 16170372 24255558 36383337 48511116 72766674 145533348