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145534644 = 2236291721
BaseRepresentation
bin10001010110010…
…10111010110100
3101010211221000000
420223022322310
5244224102034
622235151300
73415011153
oct1053127264
9333757000
10145534644
1175172372
12408a5530
13241c7598
141548559a
15cb9b599
hex8acaeb4

145534644 has 84 divisors (see below), whose sum is σ = 395250660. Its totient is φ = 46811520.

The previous prime is 145534619. The next prime is 145534657. The reversal of 145534644 is 446435541.

145534644 is a `hidden beast` number, since 1 + 4 + 5 + 5 + 3 + 4 + 644 = 666.

145534644 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 92390544 + 53144100 = 9612^2 + 7290^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 145534599 and 145534608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 83704 + ... + 85424.

It is an arithmetic number, because the mean of its divisors is an integer number (4705365).

Almost surely, 2145534644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145534644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197625330).

145534644 is an abundant number, since it is smaller than the sum of its proper divisors (249716016).

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

145534644 is a wasteful number, since it uses less digits than its factorization.

145534644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1772 (or 1755 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

The square root of 145534644 is about 12063.7740363453. The cubic root of 145534644 is about 526.0036962349.

The spelling of 145534644 in words is "one hundred forty-five million, five hundred thirty-four thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 81 87 108 116 162 174 243 261 324 348 486 522 729 783 972 1044 1458 1566 1721 2349 2916 3132 3442 4698 5163 6884 7047 9396 10326 14094 15489 20652 21141 28188 30978 42282 46467 49909 61956 84564 92934 99818 139401 149727 185868 199636 278802 299454 418203 449181 557604 598908 836406 898362 1254609 1347543 1672812 1796724 2509218 2695086 4042629 5018436 5390172 8085258 12127887 16170516 24255774 36383661 48511548 72767322 145534644