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42406364 = 227211131789
BaseRepresentation
bin1010000111000…
…1000111011100
32221210110121002
42201301013130
541324000424
64112525432
71023306500
oct241610734
987713532
1042406364
1121a34590
1212250878
138a29c30
1458bc300
153ac9cae
hex28711dc

42406364 has 144 divisors (see below), whose sum is σ = 108591840. Its totient is φ = 14192640.

The previous prime is 42406339. The next prime is 42406373. The reversal of 42406364 is 46360424.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 476432 + ... + 476520.

It is an arithmetic number, because the mean of its divisors is an integer number (754110).

Almost surely, 242406364 is an apocalyptic number.

42406364 is a gapful number since it is divisible by the number (44) 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 42406364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54295920).

42406364 is an abundant number, since it is smaller than the sum of its proper divisors (66185476).

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

42406364 is a wasteful number, since it uses less digits than its factorization.

42406364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

The square root of 42406364 is about 6512.0168918700. The cubic root of 42406364 is about 348.7201254798.

Adding to 42406364 its reverse (46360424), we get a palindrome (88766788).

The spelling of 42406364 in words is "forty-two million, four hundred six thousand, three hundred sixty-four".

Divisors: 1 2 4 7 11 13 14 17 22 26 28 34 44 49 52 68 77 89 91 98 119 143 154 178 182 187 196 221 238 286 308 356 364 374 442 476 539 572 623 637 748 833 884 979 1001 1078 1157 1246 1274 1309 1513 1547 1666 1958 2002 2156 2314 2431 2492 2548 2618 3026 3094 3332 3916 4004 4361 4628 4862 5236 6052 6188 6853 7007 8099 8722 9163 9724 10591 10829 12727 13706 14014 16198 16643 17017 17444 18326 19669 21182 21658 25454 27412 28028 32396 33286 34034 36652 39338 42364 43316 47971 50908 56693 66572 68068 74137 78676 89089 95942 113386 116501 119119 137683 148274 178178 191884 216359 226772 233002 238238 275366 296548 356356 432718 466004 476476 550732 623623 815507 865436 963781 1247246 1514513 1631014 1927562 2494492 3029026 3262028 3855124 6058052 10601591 21203182 42406364