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42602112 = 27347587
BaseRepresentation
bin1010001010000…
…0111010000000
32222011102010000
42202200322000
541401231422
64121040000
71025053260
oct242407200
988142100
1042602112
1122058663
1212326000
138a98067
14592d7a0
153b17cac
hex28a0e80

42602112 has 160 divisors (see below), whose sum is σ = 145141920. Its totient is φ = 12151296.

The previous prime is 42602057. The next prime is 42602149. The reversal of 42602112 is 21120624.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 72283 + ... + 72869.

It is an arithmetic number, because the mean of its divisors is an integer number (907137).

Almost surely, 242602112 is an apocalyptic number.

42602112 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42602112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72570960).

42602112 is an abundant number, since it is smaller than the sum of its proper divisors (102539808).

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

42602112 is an equidigital number, since it uses as much as digits as its factorization.

42602112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 599 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 42602112 is about 6527.0293396001. The cubic root of 42602112 is about 349.2558666418.

Adding to 42602112 its reverse (21120624), we get a palindrome (63722736).

The spelling of 42602112 in words is "forty-two million, six hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 587 648 672 756 864 896 1008 1134 1152 1174 1296 1344 1512 1728 1761 2016 2268 2348 2592 2688 3024 3456 3522 4032 4109 4536 4696 5184 5283 6048 7044 8064 8218 9072 9392 10368 10566 12096 12327 14088 15849 16436 18144 18784 21132 24192 24654 28176 31698 32872 36288 36981 37568 42264 47547 49308 56352 63396 65744 72576 73962 75136 84528 95094 98616 110943 112704 126792 131488 147924 169056 190188 197232 221886 225408 253584 262976 295848 332829 338112 380376 394464 443772 507168 525952 591696 665658 676224 760752 788928 887544 1014336 1183392 1331316 1521504 1577856 1775088 2028672 2366784 2662632 3043008 3550176 4733568 5325264 6086016 7100352 10650528 14200704 21301056 42602112