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427145840 = 245111959433
BaseRepresentation
bin11001011101011…
…011101001110000
31002202202020221022
4121131123221300
51333322131330
6110215115012
713404452102
oct3135335160
91082666838
10427145840
111aa126aa0
12bb072a68
136a657424
1440a2d572
1527776ae5
hex1975ba70

427145840 has 160 divisors (see below), whose sum is σ = 1162425600. Its totient is φ = 144322560.

The previous prime is 427145833. The next prime is 427145879. The reversal of 427145840 is 48541724.

It is a self number, because there is not a number n which added to its sum of digits gives 427145840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 986264 + ... + 986696.

It is an arithmetic number, because the mean of its divisors is an integer number (7265160).

Almost surely, 2427145840 is an apocalyptic number.

427145840 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 427145840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (581212800).

427145840 is an abundant number, since it is smaller than the sum of its proper divisors (735279760).

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

427145840 is a wasteful number, since it uses less digits than its factorization.

427145840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 535 (or 529 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 35.

The square root of 427145840 is about 20667.5068646414. The cubic root of 427145840 is about 753.1105422751.

The spelling of 427145840 in words is "four hundred twenty-seven million, one hundred forty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 38 40 44 55 59 76 80 88 95 110 118 152 176 190 209 220 236 295 304 380 418 433 440 472 590 649 760 836 866 880 944 1045 1121 1180 1298 1520 1672 1732 2090 2165 2242 2360 2596 3245 3344 3464 4180 4330 4484 4720 4763 5192 5605 6490 6928 8227 8360 8660 8968 9526 10384 11210 12331 12980 16454 16720 17320 17936 19052 22420 23815 24662 25547 25960 32908 34640 38104 41135 44840 47630 49324 51094 51920 61655 65816 76208 82270 89680 90497 95260 98648 102188 123310 127735 131632 164540 180994 190520 197296 204376 246620 255470 281017 329080 361988 381040 408752 452485 485393 493240 510940 562034 658160 723976 904970 970786 986480 1021880 1124068 1405085 1447952 1809940 1941572 2043760 2248136 2426965 2810170 3619880 3883144 4496272 4853930 5339323 5620340 7239760 7766288 9707860 10678646 11240680 19415720 21357292 22481360 26696615 38831440 42714584 53393230 85429168 106786460 213572920 427145840