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42268460 = 225131773131
BaseRepresentation
bin1010000100111…
…1011100101100
32221112110102112
42201033130230
541310042320
64105543152
71022163443
oct241173454
987473375
1042268460
112194aa13
12121a4ab8
1389ac230
145883d5a
153a9dec5
hex284f72c

42268460 has 96 divisors (see below), whose sum is σ = 103384512. Its totient is φ = 14376960.

The previous prime is 42268451. The next prime is 42268481. The reversal of 42268460 is 6486224.

It is a happy number.

42268460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 322595 + ... + 322725.

It is an arithmetic number, because the mean of its divisors is an integer number (1076922).

Almost surely, 242268460 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 42268460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51692256).

42268460 is an abundant number, since it is smaller than the sum of its proper divisors (61116052).

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

42268460 is a wasteful number, since it uses less digits than its factorization.

42268460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 42268460 is about 6501.4198449262. The cubic root of 42268460 is about 348.3417064650.

The spelling of 42268460 in words is "forty-two million, two hundred sixty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 10 13 17 20 26 34 52 65 68 73 85 130 131 146 170 221 260 262 292 340 365 442 524 655 730 884 949 1105 1241 1310 1460 1703 1898 2210 2227 2482 2620 3406 3796 4420 4454 4745 4964 6205 6812 8515 8908 9490 9563 11135 12410 16133 17030 18980 19126 22270 24820 28951 32266 34060 38252 44540 47815 57902 64532 80665 95630 115804 124319 144755 161330 162571 191260 248638 289510 322660 325142 497276 579020 621595 650284 812855 1243190 1625710 2113423 2486380 3251420 4226846 8453692 10567115 21134230 42268460