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42223896 = 233311131367
BaseRepresentation
bin1010000100010…
…0100100011000
32221110012022000
42201010210120
541302131041
64105001000
71021616511
oct241044430
987405260
1042223896
112191a490
1212183160
138994b70
145871a08
153a90bb6
hex2844918

42223896 has 128 divisors (see below), whose sum is σ = 137894400. Its totient is φ = 11802240.

The previous prime is 42223879. The next prime is 42223897. The reversal of 42223896 is 69832224.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 42223896.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42223897) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30205 + ... + 31571.

It is an arithmetic number, because the mean of its divisors is an integer number (1077300).

Almost surely, 242223896 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 42223896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68947200).

42223896 is an abundant number, since it is smaller than the sum of its proper divisors (95670504).

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

42223896 is a wasteful number, since it uses less digits than its factorization.

42223896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1406 (or 1396 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 42223896 is about 6497.9916897454. The cubic root of 42223896 is about 348.2192435338.

It can be divided in two parts, 4222 and 3896, that added together give a palindrome (8118).

The spelling of 42223896 in words is "forty-two million, two hundred twenty-three thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 88 99 104 108 117 132 143 156 198 216 234 264 286 297 312 351 396 429 468 572 594 702 792 858 936 1144 1188 1287 1367 1404 1716 2376 2574 2734 2808 3432 3861 4101 5148 5468 7722 8202 10296 10936 12303 15037 15444 16404 17771 24606 30074 30888 32808 35542 36909 45111 49212 53313 60148 71084 73818 90222 98424 106626 120296 135333 142168 147636 159939 180444 195481 213252 270666 295272 319878 360888 390962 405999 426504 479817 541332 586443 639756 781924 811998 959634 1082664 1172886 1279512 1563848 1623996 1759329 1919268 2345772 3247992 3518658 3838536 4691544 5277987 7037316 10555974 14074632 21111948 42223896