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42231072 = 25313219137
BaseRepresentation
bin1010000100011…
…0010100100000
32221110120010210
42201012110200
541302343242
64105054120
71021646442
oct241062440
987416123
1042231072
1121924914
1212187340
138998200
145874492
153a92d9c
hex2846520

42231072 has 144 divisors (see below), whose sum is σ = 127280160. Its totient is φ = 12220416.

The previous prime is 42231067. The next prime is 42231073. The reversal of 42231072 is 27013224.

It is not an unprimeable number, because it can be changed into a prime (42231073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308188 + ... + 308324.

It is an arithmetic number, because the mean of its divisors is an integer number (883890).

Almost surely, 242231072 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 42231072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63640080).

42231072 is an abundant number, since it is smaller than the sum of its proper divisors (85049088).

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

42231072 is a wasteful number, since it uses less digits than its factorization.

42231072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 42231072 is about 6498.5438368915. The cubic root of 42231072 is about 348.2389691709.

Adding to 42231072 its reverse (27013224), we get a palindrome (69244296).

The spelling of 42231072 in words is "forty-two million, two hundred thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 19 24 26 32 38 39 48 52 57 76 78 96 104 114 137 152 156 169 208 228 247 274 304 312 338 411 416 456 494 507 548 608 624 676 741 822 912 988 1014 1096 1248 1352 1482 1644 1781 1824 1976 2028 2192 2603 2704 2964 3211 3288 3562 3952 4056 4384 5206 5343 5408 5928 6422 6576 7124 7809 7904 8112 9633 10412 10686 11856 12844 13152 14248 15618 16224 19266 20824 21372 23153 23712 25688 28496 31236 33839 38532 41648 42744 46306 51376 56992 62472 67678 69459 77064 83296 85488 92612 101517 102752 124944 135356 138918 154128 170976 185224 203034 249888 270712 277836 308256 370448 406068 439907 541424 555672 740896 812136 879814 1082848 1111344 1319721 1624272 1759628 2222688 2639442 3248544 3519256 5278884 7038512 10557768 14077024 21115536 42231072