Search a number
-
+
42389820 = 223251179271
BaseRepresentation
bin1010000110110…
…1000100111100
32221202121220100
42201231010330
541322433240
64112321100
71023210324
oct241550474
987677810
1042389820
1121a23110
1212243190
138a22545
1458b6284
153ac4e30
hex286d13c

42389820 has 144 divisors (see below), whose sum is σ = 142571520. Its totient is φ = 10108800.

The previous prime is 42389797. The next prime is 42389833. The reversal of 42389820 is 2898324.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156285 + ... + 156555.

It is an arithmetic number, because the mean of its divisors is an integer number (990080).

Almost surely, 242389820 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42389820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71285760).

42389820 is an abundant number, since it is smaller than the sum of its proper divisors (100181700).

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

42389820 is a wasteful number, since it uses less digits than its factorization.

42389820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 42389820 is about 6510.7465009782. The cubic root of 42389820 is about 348.6747708394.

The spelling of 42389820 in words is "forty-two million, three hundred eighty-nine thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 79 90 99 110 132 158 165 180 198 220 237 271 316 330 395 396 474 495 542 660 711 790 813 869 948 990 1084 1185 1355 1422 1580 1626 1738 1980 2370 2439 2607 2710 2844 2981 3252 3476 3555 4065 4345 4740 4878 5214 5420 5962 7110 7821 8130 8690 8943 9756 10428 11924 12195 13035 14220 14905 15642 16260 17380 17886 21409 24390 26070 26829 29810 31284 35772 39105 42818 44715 48780 52140 53658 59620 64227 78210 85636 89430 107045 107316 128454 134145 156420 178860 192681 214090 235499 256908 268290 321135 385362 428180 470998 536580 642270 706497 770724 941996 963405 1177495 1284540 1412994 1926810 2119491 2354990 2825988 3532485 3853620 4238982 4709980 7064970 8477964 10597455 14129940 21194910 42389820