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42256530 = 23254361179
BaseRepresentation
bin1010000100110…
…0100010010010
32221111212001200
42201030202102
541304202110
64105412030
71022113611
oct241144222
987455050
1042256530
1121941a58
121219a016
1389a6984
14587d878
153a9a6c0
hex284c892

42256530 has 96 divisors (see below), whose sum is σ = 114903360. Its totient is φ = 10765440.

The previous prime is 42256523. The next prime is 42256531. The reversal of 42256530 is 3565224.

42256530 is a `hidden beast` number, since 4 + 2 + 2 + 5 + 653 + 0 = 666.

It is a super-2 number, since 2×422565302 = 3571228655281800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42256494 and 42256503.

It is not an unprimeable number, because it can be changed into a prime (42256531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 235981 + ... + 236159.

It is an arithmetic number, because the mean of its divisors is an integer number (1196910).

Almost surely, 242256530 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42256530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57451680).

42256530 is an abundant number, since it is smaller than the sum of its proper divisors (72646830).

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

42256530 is a wasteful number, since it uses less digits than its factorization.

42256530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 296 (or 293 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 42256530 is about 6500.5022882851. The cubic root of 42256530 is about 348.3089309818.

The spelling of 42256530 in words is "forty-two million, two hundred fifty-six thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 61 86 90 122 129 179 183 215 258 305 358 366 387 430 537 549 610 645 774 895 915 1074 1098 1290 1611 1790 1830 1935 2623 2685 2745 3222 3870 5246 5370 5490 7697 7869 8055 10919 13115 15394 15738 16110 21838 23091 23607 26230 32757 38485 39345 46182 47214 54595 65514 69273 76970 78690 98271 109190 115455 118035 138546 163785 196542 230910 236070 327570 346365 469517 491355 692730 939034 982710 1408551 2347585 2817102 4225653 4695170 7042755 8451306 14085510 21128265 42256530