Search a number
-
+
42062624 = 2517167463
BaseRepresentation
bin1010000001110…
…1001100100000
32221011000001222
42200131030200
541232000444
64101314212
71020345362
oct240351440
987130058
1042062624
112181a2aa
1212105968
138939636
14582cd32
153a5ceee
hex281d320

42062624 has 48 divisors (see below), whose sum is σ = 88397568. Its totient is φ = 19633152.

The previous prime is 42062621. The next prime is 42062633. The reversal of 42062624 is 42626024.

It is a junction number, because it is equal to n+sod(n) for n = 42062593 and 42062602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42062621) 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, 90617 + ... + 91079.

It is an arithmetic number, because the mean of its divisors is an integer number (1841616).

Almost surely, 242062624 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42062624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44198784).

42062624 is an abundant number, since it is smaller than the sum of its proper divisors (46334944).

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

42062624 is a wasteful number, since it uses less digits than its factorization.

42062624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 657 (or 649 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

The square root of 42062624 is about 6485.5704452268. The cubic root of 42062624 is about 347.7753427350.

Adding to 42062624 its reverse (42626024), we get a palindrome (84688648).

The spelling of 42062624 in words is "forty-two million, sixty-two thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 68 136 167 272 334 463 544 668 926 1336 1852 2672 2839 3704 5344 5678 7408 7871 11356 14816 15742 22712 31484 45424 62968 77321 90848 125936 154642 251872 309284 618568 1237136 1314457 2474272 2628914 5257828 10515656 21031312 42062624