[go: up one dir, main page]

Search a number
-
+
42873840 = 2433523863
BaseRepresentation
bin1010001110001…
…1001111110000
32222200012212000
42203203033300
541433430330
64130534000
71030264422
oct243431760
988605760
1042873840
1122223829
1212437300
138b61949
1459a0812
153b6d560
hex28e33f0

42873840 has 160 divisors (see below), whose sum is σ = 154275840. Its totient is φ = 10923264.

The previous prime is 42873827. The next prime is 42873841. The reversal of 42873840 is 4837824.

42873840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 42873795 and 42873804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42873841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49249 + ... + 50111.

It is an arithmetic number, because the mean of its divisors is an integer number (964224).

Almost surely, 242873840 is an apocalyptic number.

42873840 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 42873840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77137920).

42873840 is an abundant number, since it is smaller than the sum of its proper divisors (111402000).

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

42873840 is a wasteful number, since it uses less digits than its factorization.

42873840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 908 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 42873840 is about 6547.8118482437. The cubic root of 42873840 is about 349.9968435089.

The spelling of 42873840 in words is "forty-two million, eight hundred seventy-three thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 23 24 27 30 36 40 45 46 48 54 60 69 72 80 90 92 108 115 120 135 138 144 180 184 207 216 230 240 270 276 345 360 368 414 432 460 540 552 621 690 720 828 863 920 1035 1080 1104 1242 1380 1656 1726 1840 2070 2160 2484 2589 2760 3105 3312 3452 4140 4315 4968 5178 5520 6210 6904 7767 8280 8630 9936 10356 12420 12945 13808 15534 16560 17260 19849 20712 23301 24840 25890 31068 34520 38835 39698 41424 46602 49680 51780 59547 62136 69040 77670 79396 93204 99245 103560 116505 119094 124272 155340 158792 178641 186408 198490 207120 233010 238188 297735 310680 317584 357282 372816 396980 466020 476376 535923 595470 621360 714564 793960 893205 932040 952752 1071846 1190940 1429128 1587920 1786410 1864080 2143692 2381880 2679615 2858256 3572820 4287384 4763760 5359230 7145640 8574768 10718460 14291280 21436920 42873840