Search a number
-
+
42905052 = 2235371193
BaseRepresentation
bin1010001110101…
…0110111011100
32222201210200000
42203222313130
541440430202
64131334300
71030454421
oct243526734
988653600
1042905052
1122245223
1212451390
138b72c08
1459abd48
153b7791c
hex28eaddc

42905052 has 72 divisors (see below), whose sum is σ = 115607856. Its totient is φ = 13903488.

The previous prime is 42905033. The next prime is 42905063. The reversal of 42905052 is 25050924.

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

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, 35368 + ... + 36560.

Almost surely, 242905052 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 42905052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57803928).

42905052 is an abundant number, since it is smaller than the sum of its proper divisors (72702804).

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

42905052 is a wasteful number, since it uses less digits than its factorization.

42905052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1249 (or 1235 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 42905052 is about 6550.1948062634. The cubic root of 42905052 is about 350.0817550513.

Adding to 42905052 its reverse (25050924), we get a palindrome (67955976).

The spelling of 42905052 in words is "forty-two million, nine hundred five thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 324 333 444 486 666 972 999 1193 1332 1998 2386 2997 3579 3996 4772 5994 7158 8991 10737 11988 14316 17982 21474 32211 35964 42948 44141 64422 88282 96633 128844 132423 176564 193266 264846 289899 386532 397269 529692 579798 794538 1159596 1191807 1589076 2383614 3575421 4767228 7150842 10726263 14301684 21452526 42905052