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42460440 = 233511191693
BaseRepresentation
bin1010000111111…
…0010100011000
32221220012202220
42201332110120
541332213230
64114024040
71023623241
oct241762430
987805686
1042460440
1121a71180
1212278020
138a48729
1458d3cc8
153adad10
hex287e518

42460440 has 128 divisors (see below), whose sum is σ = 146361600. Its totient is φ = 9745920.

The previous prime is 42460433. The next prime is 42460477. The reversal of 42460440 is 4406424.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 42460440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24234 + ... + 25926.

It is an arithmetic number, because the mean of its divisors is an integer number (1143450).

Almost surely, 242460440 is an apocalyptic number.

42460440 is a gapful number since it is divisible by the number (40) 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 42460440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73180800).

42460440 is an abundant number, since it is smaller than the sum of its proper divisors (103901160).

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

42460440 is a wasteful number, since it uses less digits than its factorization.

42460440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 42460440 is about 6516.1675853219. The cubic root of 42460440 is about 348.8682901878.

Adding to 42460440 its reverse (4406424), we get a palindrome (46866864).

The spelling of 42460440 in words is "forty-two million, four hundred sixty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 19 20 22 24 30 33 38 40 44 55 57 60 66 76 88 95 110 114 120 132 152 165 190 209 220 228 264 285 330 380 418 440 456 570 627 660 760 836 1045 1140 1254 1320 1672 1693 2090 2280 2508 3135 3386 4180 5016 5079 6270 6772 8360 8465 10158 12540 13544 16930 18623 20316 25080 25395 32167 33860 37246 40632 50790 55869 64334 67720 74492 93115 96501 101580 111738 128668 148984 160835 186230 193002 203160 223476 257336 279345 321670 353837 372460 386004 446952 482505 558690 643340 707674 744920 772008 965010 1061511 1117380 1286680 1415348 1769185 1930020 2123022 2234760 2830696 3538370 3860040 4246044 5307555 7076740 8492088 10615110 14153480 21230220 42460440