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42209664 = 273741383
BaseRepresentation
bin1010000100000…
…1000110000000
32221102110202220
42201001012000
541301202124
64104411040
71021530150
oct241010600
987373686
1042209664
112190a822
1212176a80
13898b543
14586a760
153a8b879
hex2841180

42209664 has 128 divisors (see below), whose sum is σ = 131604480. Its totient is φ = 11735040.

The previous prime is 42209639. The next prime is 42209683. The reversal of 42209664 is 46690224.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110017 + ... + 110399.

It is an arithmetic number, because the mean of its divisors is an integer number (1028160).

Almost surely, 242209664 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 42209664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65802240).

42209664 is an abundant number, since it is smaller than the sum of its proper divisors (89394816).

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

42209664 is a wasteful number, since it uses less digits than its factorization.

42209664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The square root of 42209664 is about 6496.8964898634. The cubic root of 42209664 is about 348.1801155071.

Adding to 42209664 its reverse (46690224), we get a palindrome (88899888).

The spelling of 42209664 in words is "forty-two million, two hundred nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 224 246 287 328 336 383 384 448 492 574 656 672 766 861 896 984 1148 1149 1312 1344 1532 1722 1968 2296 2298 2624 2681 2688 3064 3444 3936 4592 4596 5248 5362 6128 6888 7872 8043 9184 9192 10724 12256 13776 15703 15744 16086 18368 18384 21448 24512 27552 31406 32172 36736 36768 42896 47109 49024 55104 62812 64344 73536 85792 94218 109921 110208 125624 128688 147072 171584 188436 219842 251248 257376 329763 343168 376872 439684 502496 514752 659526 753744 879368 1004992 1029504 1319052 1507488 1758736 2009984 2638104 3014976 3517472 5276208 6029952 7034944 10552416 14069888 21104832 42209664