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42178224 = 243111737127
BaseRepresentation
bin1010000011100…
…1011010110000
32221100212122110
42200321122300
541244200344
64104005320
71021336404
oct240713260
987325573
1042178224
1121899140
1212160840
13897a13a
14585d104
153a823b9
hex28396b0

42178224 has 160 divisors (see below), whose sum is σ = 130277376. Its totient is φ = 11612160.

The previous prime is 42178211. The next prime is 42178243. The reversal of 42178224 is 42287124.

It is a junction number, because it is equal to n+sod(n) for n = 42178191 and 42178200.

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 31 ways as a sum of consecutive naturals, for example, 332049 + ... + 332175.

Almost surely, 242178224 is an apocalyptic number.

42178224 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42178224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65138688).

42178224 is an abundant number, since it is smaller than the sum of its proper divisors (88099152).

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

42178224 is a wasteful number, since it uses less digits than its factorization.

42178224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 197 counting only the distinct ones).

The product of its digits is 7168, while the sum is 30.

The square root of 42178224 is about 6494.4764223146. The cubic root of 42178224 is about 348.0936463527.

Subtracting 42178224 from its reverse (42287124), we obtain a square (108900 = 3302).

The spelling of 42178224 in words is "forty-two million, one hundred seventy-eight thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 37 44 48 51 66 68 74 88 102 111 127 132 136 148 176 187 204 222 254 264 272 296 374 381 407 408 444 508 528 561 592 629 748 762 814 816 888 1016 1122 1221 1258 1397 1496 1524 1628 1776 1887 2032 2159 2244 2442 2516 2794 2992 3048 3256 3774 4191 4318 4488 4699 4884 5032 5588 6096 6477 6512 6919 7548 8382 8636 8976 9398 9768 10064 11176 12954 13838 14097 15096 16764 17272 18796 19536 20757 22352 23749 25908 27676 28194 30192 33528 34544 37592 41514 47498 51689 51816 55352 56388 67056 71247 75184 79883 83028 94996 103378 103632 110704 112776 142494 155067 159766 166056 189992 206756 225552 239649 284988 310134 319532 332112 379984 413512 479298 569976 620268 639064 827024 878713 958596 1139952 1240536 1278128 1757426 1917192 2481072 2636139 3514852 3834384 5272278 7029704 10544556 14059408 21089112 42178224