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145353546 = 232132572417
BaseRepresentation
bin10001010100111…
…10101101001010
3101010111201120200
420222132231022
5244202303141
622231233030
73413325162
oct1052365512
9333451520
10145353546
11750592a8
1240818776
1324163020
14154395a2
15cb62ab6
hex8a9eb4a

145353546 has 48 divisors (see below), whose sum is σ = 340618824. Its totient is φ = 44531712.

The previous prime is 145353541. The next prime is 145353589. The reversal of 145353546 is 645353541.

145353546 is a `hidden beast` number, since 14 + 53 + 53 + 546 = 666.

145353546 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 4 ways, for example, as 144937521 + 416025 = 12039^2 + 645^2 .

It is a super-2 number, since 2×1453535462 = 42255306669548232, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 145353546.

It is not an unprimeable number, because it can be changed into a prime (145353541) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58930 + ... + 61346.

Almost surely, 2145353546 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145353546, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170309412).

145353546 is an abundant number, since it is smaller than the sum of its proper divisors (195265278).

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

145353546 is a wasteful number, since it uses less digits than its factorization.

145353546 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2695 (or 2692 counting only the distinct ones).

The product of its digits is 108000, while the sum is 36.

The square root of 145353546 is about 12056.2658398030. The cubic root of 145353546 is about 525.7854257392.

It can be divided in two parts, 14535 and 3546, that added together give a palindrome (18081).

The spelling of 145353546 in words is "one hundred forty-five million, three hundred fifty-three thousand, five hundred forty-six".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 257 514 771 1542 2313 2417 3341 4626 4834 6682 7251 10023 14502 20046 21753 30069 31421 43506 60138 62842 94263 188526 282789 565578 621169 1242338 1863507 3727014 5590521 8075197 11181042 16150394 24225591 48451182 72676773 145353546