Search a number
-
+
42612640 = 255738047
BaseRepresentation
bin1010001010001…
…1011110100000
32222011221112221
42202203132200
541402101030
64121200424
71025126050
oct242433640
988157487
1042612640
1122065564
1212330114
138a9caa5
145933560
153b1ae7a
hex28a37a0

42612640 has 48 divisors (see below), whose sum is σ = 115057152. Its totient is φ = 14609664.

The previous prime is 42612599. The next prime is 42612677. The reversal of 42612640 is 4621624.

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, 17904 + ... + 20143.

It is an arithmetic number, because the mean of its divisors is an integer number (2397024).

Almost surely, 242612640 is an apocalyptic number.

42612640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42612640 is an abundant number, since it is smaller than the sum of its proper divisors (72444512).

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

42612640 is a wasteful number, since it uses less digits than its factorization.

42612640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38069 (or 38061 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

The square root of 42612640 is about 6527.8357822482. The cubic root of 42612640 is about 349.2846340960.

The spelling of 42612640 in words is "forty-two million, six hundred twelve thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 280 560 1120 38047 76094 152188 190235 266329 304376 380470 532658 608752 760940 1065316 1217504 1331645 1521880 2130632 2663290 3043760 4261264 5326580 6087520 8522528 10653160 21306320 42612640