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42253260 = 22357372719
BaseRepresentation
bin1010000100101…
…1101111001100
32221111200120120
42201023233030
541304101020
64105344540
71022101230
oct241135714
987450516
1042253260
112193a555
1212198150
1389a533a
14587c5c0
153a99740
hex284bbcc

42253260 has 96 divisors (see below), whose sum is σ = 138915840. Its totient is φ = 9393408.

The previous prime is 42253259. The next prime is 42253291. The reversal of 42253260 is 6235224.

42253260 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 42253260.

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, 14181 + ... + 16899.

It is an arithmetic number, because the mean of its divisors is an integer number (1447040).

Almost surely, 242253260 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 42253260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69457920).

42253260 is an abundant number, since it is smaller than the sum of its proper divisors (96662580).

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

42253260 is a wasteful number, since it uses less digits than its factorization.

42253260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2775 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 42253260 is about 6500.2507643936. The cubic root of 42253260 is about 348.2999461805.

Adding to 42253260 its reverse (6235224), we get a palindrome (48488484).

The spelling of 42253260 in words is "forty-two million, two hundred fifty-three thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 518 555 740 777 1036 1110 1295 1554 2220 2590 2719 3108 3885 5180 5438 7770 8157 10876 13595 15540 16314 19033 27190 32628 38066 40785 54380 57099 76132 81570 95165 100603 114198 163140 190330 201206 228396 285495 301809 380660 402412 503015 570990 603618 704221 1006030 1141980 1207236 1408442 1509045 2012060 2112663 2816884 3018090 3521105 4225326 6036180 7042210 8450652 10563315 14084420 21126630 42253260