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42313524 = 223111312447
BaseRepresentation
bin1010000101101…
…0011100110100
32221121202020120
42201122130310
541313013044
64110531540
71022442021
oct241323464
987552216
1042313524
1121980860
1212206bb0
1389c68b6
145896548
153aac519
hex285a734

42313524 has 48 divisors (see below), whose sum is σ = 108573696. Its totient is φ = 12719200.

The previous prime is 42313511. The next prime is 42313547. The reversal of 42313524 is 42531324.

It is a junction number, because it is equal to n+sod(n) for n = 42313494 and 42313503.

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, 16069 + ... + 18515.

It is an arithmetic number, because the mean of its divisors is an integer number (2261952).

Almost surely, 242313524 is an apocalyptic number.

42313524 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 42313524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54286848).

42313524 is an abundant number, since it is smaller than the sum of its proper divisors (66260172).

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

42313524 is a wasteful number, since it uses less digits than its factorization.

42313524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2596 (or 2594 counting only the distinct ones).

The product of its digits is 2880, while the sum is 24.

The square root of 42313524 is about 6504.8846261867. The cubic root of 42313524 is about 348.4654559095.

Adding to 42313524 its reverse (42531324), we get a palindrome (84844848).

The spelling of 42313524 in words is "forty-two million, three hundred thirteen thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 131 132 262 393 524 786 1441 1572 2447 2882 4323 4894 5764 7341 8646 9788 14682 17292 26917 29364 53834 80751 107668 161502 320557 323004 641114 961671 1282228 1923342 3526127 3846684 7052254 10578381 14104508 21156762 42313524