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42380880 = 2435415973
BaseRepresentation
bin1010000110101…
…0111001010000
32221202011122020
42201222321100
541322142010
64112211440
71023142263
oct241527120
987664566
1042380880
1121a17423
1212239b80
138a1b459
1458b2cda
153ac2470
hex286ae50

42380880 has 160 divisors (see below), whose sum is σ = 138741120. Its totient is φ = 10690560.

The previous prime is 42380837. The next prime is 42380957. The reversal of 42380880 is 8808324.

It is a super-2 number, since 2×423808802 = 3592277979148800, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 580524 + ... + 580596.

It is an arithmetic number, because the mean of its divisors is an integer number (867132).

Almost surely, 242380880 is an apocalyptic number.

42380880 is a gapful number since it is divisible by the number (40) 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 42380880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69370560).

42380880 is an abundant number, since it is smaller than the sum of its proper divisors (96360240).

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

42380880 is a wasteful number, since it uses less digits than its factorization.

42380880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 42380880 is about 6510.0599075585. The cubic root of 42380880 is about 348.6502573153.

The spelling of 42380880 in words is "forty-two million, three hundred eighty thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 41 48 59 60 73 80 82 118 120 123 146 164 177 205 219 236 240 246 292 295 328 354 365 410 438 472 492 584 590 615 656 708 730 820 876 885 944 984 1095 1168 1180 1230 1416 1460 1640 1752 1770 1968 2190 2360 2419 2460 2832 2920 2993 3280 3504 3540 4307 4380 4720 4838 4920 5840 5986 7080 7257 8614 8760 8979 9676 9840 11972 12095 12921 14160 14514 14965 17228 17520 17958 19352 21535 23944 24190 25842 29028 29930 34456 35916 36285 38704 43070 44895 47888 48380 51684 58056 59860 64605 68912 71832 72570 86140 89790 96760 103368 116112 119720 129210 143664 145140 172280 176587 179580 193520 206736 239440 258420 290280 344560 353174 359160 516840 529761 580560 706348 718320 882935 1033680 1059522 1412696 1765870 2119044 2648805 2825392 3531740 4238088 5297610 7063480 8476176 10595220 14126960 21190440 42380880