Search a number
-
+
42480630 = 23252112237
BaseRepresentation
bin1010001000001…
…1001111110110
32221221020110200
42202003033312
541333340010
64114301330
71024036143
oct242031766
987836420
1042480630
1121a85365
1212287846
138a5498a
1458db3ca
153ae1cc0
hex28833f6

42480630 has 48 divisors (see below), whose sum is σ = 111022704. Its totient is φ = 11269440.

The previous prime is 42480623. The next prime is 42480643. The reversal of 42480630 is 3608424.

42480630 is a `hidden beast` number, since 4 + 24 + 8 + 0 + 630 = 666.

42480630 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 42480594 and 42480603.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17872 + ... + 20108.

It is an arithmetic number, because the mean of its divisors is an integer number (2312973).

Almost surely, 242480630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42480630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55511352).

42480630 is an abundant number, since it is smaller than the sum of its proper divisors (68542074).

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

42480630 is a wasteful number, since it uses less digits than its factorization.

42480630 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2461 (or 2458 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 42480630 is about 6517.7166247084. The cubic root of 42480630 is about 348.9235772161.

The spelling of 42480630 in words is "forty-two million, four hundred eighty thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 211 422 633 1055 1266 1899 2110 2237 3165 3798 4474 6330 6711 9495 11185 13422 18990 20133 22370 33555 40266 67110 100665 201330 472007 944014 1416021 2360035 2832042 4248063 4720070 7080105 8496126 14160210 21240315 42480630