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42412440 = 2335727213
BaseRepresentation
bin1010000111001…
…0100110011000
32221210202221010
42201302212120
541324144230
64113013520
71023333300
oct241624630
987722833
1042412440
1121a39104
12122542a0
138a2c925
1458c0600
153acb9b0
hex2872998

42412440 has 96 divisors (see below), whose sum is σ = 148031280. Its totient is φ = 9692928.

The previous prime is 42412421. The next prime is 42412481. The reversal of 42412440 is 4421424.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2274 + ... + 9486.

Almost surely, 242412440 is an apocalyptic number.

42412440 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 42412440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74015640).

42412440 is an abundant number, since it is smaller than the sum of its proper divisors (105618840).

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

42412440 is a wasteful number, since it uses less digits than its factorization.

42412440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7241 (or 7230 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 42412440 is about 6512.4833972917. The cubic root of 42412440 is about 348.7367796019.

Adding to 42412440 its reverse (4421424), we get a palindrome (46833864).

The spelling of 42412440 in words is "forty-two million, four hundred twelve thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 7213 14426 21639 28852 36065 43278 50491 57704 72130 86556 100982 108195 144260 151473 173112 201964 216390 252455 288520 302946 353437 403928 432780 504910 605892 706874 757365 865560 1009820 1060311 1211784 1413748 1514730 1767185 2019640 2120622 2827496 3029460 3534370 4241244 5301555 6058920 7068740 8482488 10603110 14137480 21206220 42412440