[go: up one dir, main page]

Search a number
-
+
42905304 = 233213231993
BaseRepresentation
bin1010001110101…
…0111011011000
32222201211000100
42203222323120
541440432204
64131335400
71030455231
oct243527330
988654010
1042905304
1122245432
1212451560
138b73070
1459ac088
153b77a39
hex28eaed8

42905304 has 96 divisors (see below), whose sum is σ = 130646880. Its totient is φ = 12621312.

The previous prime is 42905279. The next prime is 42905321. The reversal of 42905304 is 40350924.

42905304 is a `hidden beast` number, since 42 + 90 + 530 + 4 = 666.

It is a super-2 number, since 2×429053042 = 3681730222664832, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20532 + ... + 22524.

It is an arithmetic number, because the mean of its divisors is an integer number (1360905).

Almost surely, 242905304 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 42905304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65323440).

42905304 is an abundant number, since it is smaller than the sum of its proper divisors (87741576).

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

42905304 is a wasteful number, since it uses less digits than its factorization.

42905304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2034 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 42905304 is about 6550.2140423043. The cubic root of 42905304 is about 350.0824404441.

The spelling of 42905304 in words is "forty-two million, nine hundred five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 18 23 24 26 36 39 46 52 69 72 78 92 104 117 138 156 184 207 234 276 299 312 414 468 552 598 828 897 936 1196 1656 1794 1993 2392 2691 3588 3986 5382 5979 7176 7972 10764 11958 15944 17937 21528 23916 25909 35874 45839 47832 51818 71748 77727 91678 103636 137517 143496 155454 183356 207272 233181 275034 310908 366712 412551 466362 550068 595907 621816 825102 932724 1100136 1191814 1650204 1787721 1865448 2383628 3300408 3575442 4767256 5363163 7150884 10726326 14301768 21452652 42905304