Search a number
-
+
42683310 = 232519109229
BaseRepresentation
bin1010001011010…
…0101110101110
32222022112111100
42202310232232
541411331220
64122503530
71025542065
oct242645656
988275440
1042683310
112210366a
1212364ba6
138ac5cc7
1459511dc
153b31d90
hex28b4bae

42683310 has 96 divisors (see below), whose sum is σ = 118404000. Its totient is φ = 10637568.

The previous prime is 42683299. The next prime is 42683339. The reversal of 42683310 is 1338624.

It is a happy number.

It is a super-2 number, since 2×426833102 = 3643729905112200, which contains 22 as substring.

It is a Curzon number.

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, 186276 + ... + 186504.

It is an arithmetic number, because the mean of its divisors is an integer number (1233375).

Almost surely, 242683310 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42683310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59202000).

42683310 is an abundant number, since it is smaller than the sum of its proper divisors (75720690).

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

42683310 is a wasteful number, since it uses less digits than its factorization.

42683310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 42683310 is about 6533.2465130286. The cubic root of 42683310 is about 349.4776152720.

The spelling of 42683310 in words is "forty-two million, six hundred eighty-three thousand, three hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 109 114 171 190 218 229 285 327 342 458 545 570 654 687 855 981 1090 1145 1374 1635 1710 1962 2061 2071 2290 3270 3435 4122 4142 4351 4905 6213 6870 8702 9810 10305 10355 12426 13053 18639 20610 20710 21755 24961 26106 31065 37278 39159 43510 49922 62130 65265 74883 78318 93195 124805 130530 149766 186390 195795 224649 249610 374415 391590 449298 474259 748830 948518 1123245 1422777 2246490 2371295 2845554 4268331 4742590 7113885 8536662 14227770 21341655 42683310