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42315520 = 285132543
BaseRepresentation
bin1010000101101…
…0111100000000
32221121211222111
42201122330000
541313044040
64110545104
71022450602
oct241327400
987554874
1042315520
1121982305
1212208194
1389c7790
145897172
153aacdea
hex285af00

42315520 has 72 divisors (see below), whose sum is σ = 109198656. Its totient is φ = 15618048.

The previous prime is 42315487. The next prime is 42315521. The reversal of 42315520 is 2551324.

It is a junction number, because it is equal to n+sod(n) for n = 42315491 and 42315500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42315521) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15369 + ... + 17911.

It is an arithmetic number, because the mean of its divisors is an integer number (1516648).

Almost surely, 242315520 is an apocalyptic number.

42315520 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 42315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54599328).

42315520 is an abundant number, since it is smaller than the sum of its proper divisors (66883136).

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

42315520 is a wasteful number, since it uses less digits than its factorization.

42315520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2577 (or 2563 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 42315520 is about 6505.0380475444. The cubic root of 42315520 is about 348.4709350570.

Adding to 42315520 its reverse (2551324), we get a palindrome (44866844).

The spelling of 42315520 in words is "forty-two million, three hundred fifteen thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 520 640 832 1040 1280 1664 2080 2543 3328 4160 5086 8320 10172 12715 16640 20344 25430 33059 40688 50860 66118 81376 101720 132236 162752 165295 203440 264472 325504 330590 406880 528944 651008 661180 813760 1057888 1322360 1627520 2115776 2644720 3255040 4231552 5289440 8463104 10578880 21157760 42315520