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145454208 = 2732343383
BaseRepresentation
bin10001010101101…
…11010010000000
3101010200211122220
420222313102000
5244214013313
622233331040
73414224514
oct1052672200
9333624586
10145454208
1175117999
1240866a80
1324199aa3
1415464144
15cb82823
hex8ab7480

145454208 has 128 divisors (see below), whose sum is σ = 413614080. Its totient is φ = 45179904.

The previous prime is 145454189. The next prime is 145454209. The reversal of 145454208 is 802454541.

It is a happy number.

145454208 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (145454209) 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, 379585 + ... + 379967.

It is an arithmetic number, because the mean of its divisors is an integer number (3231360).

Almost surely, 2145454208 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 145454208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206807040).

145454208 is an abundant number, since it is smaller than the sum of its proper divisors (268159872).

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

145454208 is a wasteful number, since it uses less digits than its factorization.

145454208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 454 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 33.

The square root of 145454208 is about 12060.4397929760. The cubic root of 145454208 is about 525.9067721640.

The spelling of 145454208 in words is "one hundred forty-five million, four hundred fifty-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 43 46 48 64 69 86 92 96 128 129 138 172 184 192 258 276 344 368 383 384 516 552 688 736 766 989 1032 1104 1149 1376 1472 1532 1978 2064 2208 2298 2752 2944 2967 3064 3956 4128 4416 4596 5504 5934 6128 7912 8256 8809 8832 9192 11868 12256 15824 16469 16512 17618 18384 23736 24512 26427 31648 32938 35236 36768 47472 49024 49407 52854 63296 65876 70472 73536 94944 98814 105708 126592 131752 140944 147072 189888 197628 211416 263504 281888 378787 379776 395256 422832 527008 563776 757574 790512 845664 1054016 1127552 1136361 1515148 1581024 1691328 2108032 2272722 3030296 3162048 3382656 4545444 6060592 6324096 9090888 12121184 18181776 24242368 36363552 48484736 72727104 145454208