Search a number
-
+
42754880 = 265719087
BaseRepresentation
bin1010001100011…
…0001101000000
32222110011200002
42203012031000
541421124010
64124215132
71026260540
oct243061500
988404602
1042754880
1122152413
121239a4a8
138b1c75c
14596d320
153b481a5
hex28c6340

42754880 has 56 divisors (see below), whose sum is σ = 116360448. Its totient is φ = 14658048.

The previous prime is 42754867. The next prime is 42754891. The reversal of 42754880 is 8845724.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7304 + ... + 11783.

Almost surely, 242754880 is an apocalyptic number.

42754880 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42754880 is an abundant number, since it is smaller than the sum of its proper divisors (73605568).

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

42754880 is a wasteful number, since it uses less digits than its factorization.

42754880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19111 (or 19101 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 38.

The square root of 42754880 is about 6538.7215875888. The cubic root of 42754880 is about 349.6728371366.

It can be divided in two parts, 42754 and 880, that added together give a palindrome (43634).

The spelling of 42754880 in words is "forty-two million, seven hundred fifty-four thousand, eight hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 19087 38174 76348 95435 133609 152696 190870 267218 305392 381740 534436 610784 668045 763480 1068872 1221568 1336090 1526960 2137744 2672180 3053920 4275488 5344360 6107840 8550976 10688720 21377440 42754880