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42721380 = 223251318257
BaseRepresentation
bin1010001011111…
…0000001100100
32222101110201100
42202332001210
541414041010
64123400100
71026061062
oct242760144
988343640
1042721380
112212a229
1212383030
138b0a430
145961032
153b3d2c0
hex28be064

42721380 has 72 divisors (see below), whose sum is σ = 139564152. Its totient is φ = 10515456.

The previous prime is 42721363. The next prime is 42721387. The reversal of 42721380 is 8312724.

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 42693156 = 168^2 + 6534^2 .

It is not an unprimeable number, because it can be changed into a prime (42721387) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 6789 + ... + 11468.

It is an arithmetic number, because the mean of its divisors is an integer number (1938391).

Almost surely, 242721380 is an apocalyptic number.

It is an amenable number.

42721380 is an abundant number, since it is smaller than the sum of its proper divisors (96842772).

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

42721380 is a wasteful number, since it uses less digits than its factorization.

42721380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18285 (or 18280 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 42721380 is about 6536.1594227803. The cubic root of 42721380 is about 349.5814861545.

The spelling of 42721380 in words is "forty-two million, seven hundred twenty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 18257 36514 54771 73028 91285 109542 164313 182570 219084 237341 273855 328626 365140 474682 547710 657252 712023 821565 949364 1095420 1186705 1424046 1643130 2136069 2373410 2848092 3286260 3560115 4272138 4746820 7120230 8544276 10680345 14240460 21360690 42721380