Search a number
-
+
42545904 = 2434718859
BaseRepresentation
bin1010001001001…
…1001011110000
32222001120000020
42202103023300
541342432104
64115523440
71024430352
oct242231360
988046006
1042545904
112201a405
12122b9580
138a785bb
1459170d2
153b062d9
hex28932f0

42545904 has 40 divisors (see below), whose sum is σ = 112254720. Its totient is φ = 13879488.

The previous prime is 42545891. The next prime is 42545927. The reversal of 42545904 is 40954524.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7174 + ... + 11685.

It is an arithmetic number, because the mean of its divisors is an integer number (2806368).

Almost surely, 242545904 is an apocalyptic number.

It is an amenable number.

42545904 is an abundant number, since it is smaller than the sum of its proper divisors (69708816).

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

42545904 is a wasteful number, since it uses less digits than its factorization.

42545904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18917 (or 18911 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 42545904 is about 6522.7221311351. The cubic root of 42545904 is about 349.1021996624.

The spelling of 42545904 in words is "forty-two million, five hundred forty-five thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 47 48 94 141 188 282 376 564 752 1128 2256 18859 37718 56577 75436 113154 150872 226308 301744 452616 886373 905232 1772746 2659119 3545492 5318238 7090984 10636476 14181968 21272952 42545904