Search a number
-
+
42762330 = 23451331131
BaseRepresentation
bin1010001100100…
…0000001011010
32222110112220000
42203020001122
541421343310
64124313430
71026321342
oct243100132
988415800
1042762330
1122157a76
12123a2876
138b22c70
145971d22
153b4a4c0
hex28c805a

42762330 has 160 divisors (see below), whose sum is σ = 128798208. Its totient is φ = 10108800.

The previous prime is 42762323. The next prime is 42762367. The reversal of 42762330 is 3326724.

42762330 is a `hidden beast` number, since 4 + 2 + 7 + 623 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 42762294 and 42762303.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 326365 + ... + 326495.

Almost surely, 242762330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42762330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64399104).

42762330 is an abundant number, since it is smaller than the sum of its proper divisors (86035878).

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

42762330 is a wasteful number, since it uses less digits than its factorization.

42762330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 42762330 is about 6539.2912459991. The cubic root of 42762330 is about 349.6931460178.

The spelling of 42762330 in words is "forty-two million, seven hundred sixty-two thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 31 39 45 54 62 65 78 81 90 93 117 130 131 135 155 162 186 195 234 262 270 279 310 351 390 393 403 405 465 558 585 655 702 786 806 810 837 930 1053 1170 1179 1209 1310 1395 1674 1703 1755 1965 2015 2106 2358 2418 2511 2790 3406 3510 3537 3627 3930 4030 4061 4185 5022 5109 5265 5895 6045 7074 7254 8122 8370 8515 10218 10530 10611 10881 11790 12090 12183 12555 15327 17030 17685 18135 20305 21222 21762 24366 25110 25545 30654 32643 35370 36270 36549 40610 45981 51090 52793 53055 54405 60915 65286 73098 76635 91962 105586 106110 108810 109647 121830 137943 153270 158379 163215 182745 219294 229905 263965 275886 316758 326430 328941 365490 459810 475137 527930 548235 657882 689715 791895 950274 1096470 1379430 1425411 1583790 1644705 2375685 2850822 3289410 4276233 4751370 7127055 8552466 14254110 21381165 42762330