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145758438 = 23272592801
BaseRepresentation
bin10001011000000…
…01100011100110
3101011021021222200
420230001203212
5244303232223
622244035330
73416632500
oct1054014346
9334237880
10145758438
1175305521
1240992b46
13242753c7
1415502d70
15cbe2a43
hex8b018e6

145758438 has 72 divisors (see below), whose sum is σ = 373730760. Its totient is φ = 40924800.

The previous prime is 145758413. The next prime is 145758439. The reversal of 145758438 is 834857541.

145758438 is a `hidden beast` number, since 14 + 57 + 584 + 3 + 8 = 666.

145758438 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 145758393 and 145758402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145758439) 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 35 ways as a sum of consecutive naturals, for example, 50638 + ... + 53438.

It is an arithmetic number, because the mean of its divisors is an integer number (5190705).

Almost surely, 2145758438 is an apocalyptic number.

145758438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145758438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186865380).

145758438 is an abundant number, since it is smaller than the sum of its proper divisors (227972322).

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

145758438 is a wasteful number, since it uses less digits than its factorization.

145758438 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2882 (or 2872 counting only the distinct ones).

The product of its digits is 537600, while the sum is 45.

The square root of 145758438 is about 12073.0459288450. The cubic root of 145758438 is about 526.2731765924.

It can be divided in two parts, 1457 and 58438, that added together give a palindrome (59895).

The spelling of 145758438 in words is "one hundred forty-five million, seven hundred fifty-eight thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 59 63 98 118 126 147 177 294 354 413 441 531 826 882 1062 1239 2478 2801 2891 3717 5602 5782 7434 8403 8673 16806 17346 19607 25209 26019 39214 50418 52038 58821 117642 137249 165259 176463 274498 330518 352926 411747 495777 823494 991554 1156813 1235241 1487331 2313626 2470482 2974662 3470439 6940878 8097691 10411317 16195382 20822634 24293073 48586146 72879219 145758438