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145376550 = 232521143683
BaseRepresentation
bin10001010101001…
…00010100100110
3101010112220010200
420222210110212
5244204022200
622231531330
73413452224
oct1052442446
9333486120
10145376550
1175074610
1240829b46
1324170637
1415443b14
15cb69800
hex8aa4526

145376550 has 144 divisors (see below), whose sum is σ = 436632768. Its totient is φ = 34372800.

The previous prime is 145376527. The next prime is 145376563. The reversal of 145376550 is 55673541.

145376550 is a `hidden beast` number, since 14 + 537 + 65 + 50 = 666.

It is a super-2 number, since 2×1453765502 = 42268682579805000, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 212509 + ... + 213191.

It is an arithmetic number, because the mean of its divisors is an integer number (3032172).

Almost surely, 2145376550 is an apocalyptic number.

145376550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 145376550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218316384).

145376550 is an abundant number, since it is smaller than the sum of its proper divisors (291256218).

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

145376550 is a wasteful number, since it uses less digits than its factorization.

145376550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 747 counting only the distinct ones).

The product of its (nonzero) digits is 63000, while the sum is 36.

The square root of 145376550 is about 12057.2198287997. The cubic root of 145376550 is about 525.8131616292.

The spelling of 145376550 in words is "one hundred forty-five million, three hundred seventy-six thousand, five hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 43 45 50 55 66 75 86 90 99 110 129 150 165 198 215 225 258 275 330 387 430 450 473 495 550 645 683 774 825 946 990 1075 1290 1366 1419 1650 1935 2049 2150 2365 2475 2838 3225 3415 3870 4098 4257 4730 4950 6147 6450 6830 7095 7513 8514 9675 10245 11825 12294 14190 15026 17075 19350 20490 21285 22539 23650 29369 30735 34150 35475 37565 42570 45078 51225 58738 61470 67617 70950 75130 88107 102450 106425 112695 135234 146845 153675 176214 187825 212850 225390 264321 293690 307350 323059 338085 375650 440535 528642 563475 646118 676170 734225 881070 969177 1126950 1321605 1468450 1615295 1690425 1938354 2202675 2643210 2907531 3230590 3380850 4405350 4845885 5815062 6608025 8076475 9691770 13216050 14537655 16152950 24229425 29075310 48458850 72688275 145376550