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42313040 = 2457116869
BaseRepresentation
bin1010000101101…
…0010101010000
32221121201120122
42201122111100
541313004130
64110525412
71022440430
oct241322520
987551518
1042313040
1121980460
1212206868
1389c6603
1458962c0
153aac2e5
hex285a550

42313040 has 80 divisors (see below), whose sum is σ = 122670720. Its totient is φ = 13186560.

The previous prime is 42313013. The next prime is 42313067. The reversal of 42313040 is 4031324.

It is an interprime number because it is at equal distance from previous prime (42313013) and next prime (42313067).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2726 + ... + 9594.

It is an arithmetic number, because the mean of its divisors is an integer number (1533384).

Almost surely, 242313040 is an apocalyptic number.

42313040 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 42313040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61335360).

42313040 is an abundant number, since it is smaller than the sum of its proper divisors (80357680).

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

42313040 is a wasteful number, since it uses less digits than its factorization.

42313040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6900 (or 6894 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

The square root of 42313040 is about 6504.8474232683. The cubic root of 42313040 is about 348.4641272726.

Adding to 42313040 its reverse (4031324), we get a palindrome (46344364).

The spelling of 42313040 in words is "forty-two million, three hundred thirteen thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 35 40 44 55 56 70 77 80 88 110 112 140 154 176 220 280 308 385 440 560 616 770 880 1232 1540 3080 6160 6869 13738 27476 34345 48083 54952 68690 75559 96166 109904 137380 151118 192332 240415 274760 302236 377795 384664 480830 528913 549520 604472 755590 769328 961660 1057826 1208944 1511180 1923320 2115652 2644565 3022360 3846640 4231304 5289130 6044720 8462608 10578260 21156520 42313040