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42353460 = 223251713841
BaseRepresentation
bin1010000110010…
…0001100110100
32221200210000200
42201210030310
541320302320
64111440500
71022666322
oct241441464
987623020
1042353460
11219a8866
1212226130
138a0bb26
1458a6d12
153ab9290
hex2864334

42353460 has 72 divisors (see below), whose sum is σ = 136039176. Its totient is φ = 10629120.

The previous prime is 42353449. The next prime is 42353461. The reversal of 42353460 is 6435324.

It can be written as a sum of positive squares in 4 ways, for example, as 5702544 + 36650916 = 2388^2 + 6054^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42353461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3861 + ... + 9980.

It is an arithmetic number, because the mean of its divisors is an integer number (1889433).

Almost surely, 242353460 is an apocalyptic number.

It is an amenable number.

42353460 is an abundant number, since it is smaller than the sum of its proper divisors (93685716).

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

42353460 is a wasteful number, since it uses less digits than its factorization.

42353460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13873 (or 13868 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 42353460 is about 6507.9535954092. The cubic root of 42353460 is about 348.5750500321.

Adding to 42353460 its reverse (6435324), we get a palindrome (48788784).

The spelling of 42353460 in words is "forty-two million, three hundred fifty-three thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 45 51 60 68 85 90 102 153 170 180 204 255 306 340 510 612 765 1020 1530 3060 13841 27682 41523 55364 69205 83046 124569 138410 166092 207615 235297 249138 276820 415230 470594 498276 622845 705891 830460 941188 1176485 1245690 1411782 2117673 2352970 2491380 2823564 3529455 4235346 4705940 7058910 8470692 10588365 14117820 21176730 42353460